25564 has 24 divisors (see below), whose sum is σ = 56448. Its totient is φ = 9840.

The previous prime is 25561. The next prime is 25577. The reversal of 25564 is 46552.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267 + ... + 349.

It is an arithmetic number, because the mean of its divisors is an integer number (2352).

2²⁵⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28224).

25564 is an abundant number, since it is smaller than the sum of its proper divisors (30884).

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

25564 is a wasteful number, since it uses less digits than its factorization.

25564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 103 counting only the distinct ones).

The product of its digits is 1200, while the sum is 22.

The square root of 25564 is about 159.8874604214. The cubic root of 25564 is about 29.4584303901.

The spelling of 25564 in words is "twenty-five thousand, five hundred sixty-four".