25636 has 24 divisors (see below), whose sum is σ = 52920. Its totient is φ = 10752.

The previous prime is 25633. The next prime is 25639. The reversal of 25636 is 63652.

It is an interprime number because it is at equal distance from previous prime (25633) and next prime (25639).

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 22500 = 56^2 + 150^2 .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 870 + ... + 898.

It is an arithmetic number, because the mean of its divisors is an integer number (2205).

2²⁵⁶³⁶ is an apocalyptic number.

25636 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

25636 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26460).

25636 is a wasteful number, since it uses less digits than its factorization.

25636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 61 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 25636 is about 160.1124604770. The cubic root of 25636 is about 29.4860606365.

It can be divided in two parts, 256 and 36, that multiplied together give a square (9216 = 96²).

The spelling of 25636 in words is "twenty-five thousand, six hundred thirty-six".