25713 has 6 divisors (see below), whose sum is σ = 37154. Its totient is φ = 17136.

The previous prime is 25703. The next prime is 25717. The reversal of 25713 is 31752.

It can be written as a sum of positive squares in only one way, i.e., 23409 + 2304 = 153^2 + 48^2 .

It is not a de Polignac number, because 25713 - 2⁸ = 25457 is a prime.

It is a super-2 number, since 2×25713² = 1322316738, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (25717) 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 5 ways as a sum of consecutive naturals, for example, 1420 + ... + 1437.

2²⁵⁷¹³ is an apocalyptic number.

It is an amenable number.

25713 is a deficient number, since it is larger than the sum of its proper divisors (11441).

25713 is a wasteful number, since it uses less digits than its factorization.

25713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2860 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 25713 is about 160.3527361787. The cubic root of 25713 is about 29.5155524619.

The spelling of 25713 in words is "twenty-five thousand, seven hundred thirteen".