82567564 has 24 divisors (see below), whose sum is σ = 146754608. Its totient is φ = 40642560.

The previous prime is 82567547. The next prime is 82567567. The reversal of 82567564 is 46576528.

It is a self number, because there is not a number n which added to its sum of digits gives 82567564.

It is not an unprimeable number, because it can be changed into a prime (82567567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93067 + ... + 93949.

Almost surely, 2^82567564 is an apocalyptic number.

It is an amenable number.

82567564 is a deficient number, since it is larger than the sum of its proper divisors (64187044).

82567564 is a wasteful number, since it uses less digits than its factorization.

82567564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1223 counting only the distinct ones).

The product of its digits is 403200, while the sum is 43.

The square root of 82567564 is about 9086.6695769132. The cubic root of 82567564 is about 435.4481908979.

The spelling of 82567564 in words is "eighty-two million, five hundred sixty-seven thousand, five hundred sixty-four".