25257 has 4 divisors (see below), whose sum is σ = 33680. Its totient is φ = 16836.

The previous prime is 25253. The next prime is 25261. The reversal of 25257 is 75252.

25257 is nontrivially palindromic in base 9.

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 an interprime number because it is at equal distance from previous prime (25253) and next prime (25261).

It is not a de Polignac number, because 25257 - 2² = 25253 is a prime.

It is a d-powerful number, because it can be written as 2⁷ + 5 + 2¹³ + 5³ + 7⁵ .

It is a D-number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25257.

It is not an unprimeable number, because it can be changed into a prime (25253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4207 + ... + 4212.

It is an arithmetic number, because the mean of its divisors is an integer number (8420).

2²⁵²⁵⁷ is an apocalyptic number.

It is an amenable number.

25257 is a deficient number, since it is larger than the sum of its proper divisors (8423).

25257 is an equidigital number, since it uses as much as digits as its factorization.

25257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8422.

The product of its digits is 700, while the sum is 21.

The square root of 25257 is about 158.9245103815. The cubic root of 25257 is about 29.3400323313.

It can be divided in two parts, 25 and 257, that added together give a palindrome (282).

The spelling of 25257 in words is "twenty-five thousand, two hundred fifty-seven".