22972761 has 32 divisors (see below), whose sum is σ = 39156480. Its totient is φ = 13039488.

The previous prime is 22972757. The next prime is 22972777. The reversal of 22972761 is 16727922.

It is not a de Polignac number, because 22972761 - 2² = 22972757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22972861) 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 31 ways as a sum of consecutive naturals, for example, 36925 + ... + 37541.

It is an arithmetic number, because the mean of its divisors is an integer number (1223640).

Almost surely, 2^22972761 is an apocalyptic number.

22972761 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22972761 is a deficient number, since it is larger than the sum of its proper divisors (16183719).

22972761 is a wasteful number, since it uses less digits than its factorization.

22972761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 22972761 is about 4792.9908199370. The cubic root of 22972761 is about 284.2743868357.

The spelling of 22972761 in words is "twenty-two million, nine hundred seventy-two thousand, seven hundred sixty-one".