25757 has 4 divisors (see below), whose sum is σ = 26400. Its totient is φ = 25116.

The previous prime is 25747. The next prime is 25759. The reversal of 25757 is 75752.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 25757 - 2⁴ = 25741 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25757.

It is not an unprimeable number, because it can be changed into a prime (25759) 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, 257 + ... + 342.

It is an arithmetic number, because the mean of its divisors is an integer number (6600).

2²⁵⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

25757 is a deficient number, since it is larger than the sum of its proper divisors (643).

25757 is an equidigital number, since it uses as much as digits as its factorization.

25757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642.

The product of its digits is 2450, while the sum is 26.

The square root of 25757 is about 160.4898750700. The cubic root of 25757 is about 29.5323785064.

The spelling of 25757 in words is "twenty-five thousand, seven hundred fifty-seven".