25088 has 30 divisors (see below), whose sum is σ = 58311. Its totient is φ = 10752.

The previous prime is 25087. The next prime is 25097. The reversal of 25088 is 88052.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

25088 is nontrivially palindromic in base 13.

25088 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 12544 + 12544 = 112^2 + 112^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=112.

It is a Duffinian number.

It is a nialpdrome in base 8, base 14 and base 16.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 25088.

It is not an unprimeable number, because it can be changed into a prime (25087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3581 + ... + 3587.

2^{25088} is an apocalyptic number.

25088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25088

25088 is an abundant number, since it is smaller than the sum of its proper divisors (33223).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25088 is an frugal number, since it uses more digits than its factorization.

25088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 25088 is about 158.3919189858. The cubic root of 25088 is about 29.2744456802.

The spelling of 25088 in words is "twenty-five thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 3136 3584 6272 12544 25088

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