22525 has 12 divisors (see below), whose sum is σ = 30132. Its totient is φ = 16640.

The previous prime is 22511. The next prime is 22531. The reversal of 22525 is 52522.

It can be written as a sum of positive squares in 6 ways, for example, as 324 + 22201 = 18^2 + 149^2 .

It is not a de Polignac number, because 22525 - 2⁷ = 22397 is a prime.

It is a Duffinian number.

22525 is a lucky number.

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 22499 and 22508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399 + ... + 451.

It is an arithmetic number, because the mean of its divisors is an integer number (2511).

2²²⁵²⁵ is an apocalyptic number.

22525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22525 is a deficient number, since it is larger than the sum of its proper divisors (7607).

22525 is a wasteful number, since it uses less digits than its factorization.

22525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 75 counting only the distinct ones).

The product of its digits is 200, while the sum is 16.

The square root of 22525 is about 150.0833101980. The cubic root of 22525 is about 28.2415329521.

It can be divided in two parts, 225 and 25, that multiplied together give a square (5625 = 75²).

The spelling of 22525 in words is "twenty-two thousand, five hundred twenty-five".