23565966 has 48 divisors (see below), whose sum is σ = 51327360. Its totient is φ = 7192800.

The previous prime is 23565953. The next prime is 23565967. The reversal of 23565966 is 66956532.

23565966 = 780² + 781² + ... + 816².

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23565967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155991 + ... + 156141.

It is an arithmetic number, because the mean of its divisors is an integer number (1069320).

Almost surely, 2^23565966 is an apocalyptic number.

23565966 is an abundant number, since it is smaller than the sum of its proper divisors (27761394).

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

23565966 is a wasteful number, since it uses less digits than its factorization.

23565966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 212 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The square root of 23565966 is about 4854.4789627724. The cubic root of 23565966 is about 286.7004770529.

It can be divided in two parts, 23565 and 966, that added together give a triangular number (24531 = T₂₂₁).

The spelling of 23565966 in words is "twenty-three million, five hundred sixty-five thousand, nine hundred sixty-six".