22971825 has 54 divisors (see below), whose sum is σ = 43234646. Its totient is φ = 11658240.

The previous prime is 22971797. The next prime is 22971829. The reversal of 22971825 is 52817922.

It can be written as a sum of positive squares in 3 ways, for example, as 304704 + 22667121 = 552^2 + 4761^2 .

It is not a de Polignac number, because 22971825 - 2¹¹ = 22969777 is a prime.

It is a Duffinian number.

Its product of digits (20160) is a multiple of the sum of its prime divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 22971825.

It is not an unprimeable number, because it can be changed into a prime (22971829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 118929 + ... + 119121.

Almost surely, 2^22971825 is an apocalyptic number.

22971825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22971825 is a deficient number, since it is larger than the sum of its proper divisors (20262821).

22971825 is a wasteful number, since it uses less digits than its factorization.

22971825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 224 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 22971825 is about 4792.8931763602. The cubic root of 22971825 is about 284.2705259670.

The spelling of 22971825 in words is "twenty-two million, nine hundred seventy-one thousand, eight hundred twenty-five".