25957 has 4 divisors (see below), whose sum is σ = 26316. Its totient is φ = 25600.

The previous prime is 25951. The next prime is 25969. The reversal of 25957 is 75952.

25957 is nontrivially palindromic in base 12.

25957 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 25281 + 676 = 159^2 + 26^2 .

It is a cyclic number.

It is not a de Polignac number, because 25957 - 2¹¹ = 23909 is a prime.

It is a Duffinian number.

25957 is an undulating number in base 16.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28 + ... + 229.

It is an arithmetic number, because the mean of its divisors is an integer number (6579).

2²⁵⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

25957 is a deficient number, since it is larger than the sum of its proper divisors (359).

25957 is a wasteful number, since it uses less digits than its factorization.

25957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358.

The product of its digits is 3150, while the sum is 28.

The square root of 25957 is about 161.1117624508. Note that the first 3 decimals coincide. The cubic root of 25957 is about 29.6086199633.

The spelling of 25957 in words is "twenty-five thousand, nine hundred fifty-seven".