25767 has 12 divisors (see below), whose sum is σ = 42640. Its totient is φ = 14688.

The previous prime is 25763. The next prime is 25771. The reversal of 25767 is 76752.

It is an interprime number because it is at equal distance from previous prime (25763) and next prime (25771).

It is not a de Polignac number, because 25767 - 2² = 25763 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 25767.

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 25767.

It is not an unprimeable number, because it can be changed into a prime (25763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142 + ... + 267.

2²⁵⁷⁶⁷ is an apocalyptic number.

25767 is a deficient number, since it is larger than the sum of its proper divisors (16873).

25767 is a wasteful number, since it uses less digits than its factorization.

25767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 419 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 25767 is about 160.5210266601. The cubic root of 25767 is about 29.5361999345.

It can be divided in two parts, 257 and 67, that added together give a square (324 = 18²).

The spelling of 25767 in words is "twenty-five thousand, seven hundred sixty-seven".