22515 has 16 divisors (see below), whose sum is σ = 38400. Its totient is φ = 11232.

The previous prime is 22511. The next prime is 22531. The reversal of 22515 is 51522.

It is not a de Polignac number, because 22515 - 2² = 22511 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 22494 and 22503.

It is not an unprimeable number, because it can be changed into a prime (22511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246 + ... + 324.

It is an arithmetic number, because the mean of its divisors is an integer number (2400).

2²²⁵¹⁵ is an apocalyptic number.

22515 is a deficient number, since it is larger than the sum of its proper divisors (15885).

22515 is a wasteful number, since it uses less digits than its factorization.

22515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106.

The product of its digits is 100, while the sum is 15.

The square root of 22515 is about 150.0499916694. The cubic root of 22515 is about 28.2373530463.

Subtracting from 22515 its sum of digits (15), we obtain a square (22500 = 150²).

It can be divided in two parts, 225 and 15, that multiplied together give a cube (3375 = 15³).

The spelling of 22515 in words is "twenty-two thousand, five hundred fifteen".