82856564 has 24 divisors (see below), whose sum is σ = 166591488. Its totient is φ = 35321760.

The previous prime is 82856561. The next prime is 82856617. The reversal of 82856564 is 46565828.

It is a super-4 number, since 4×82856564⁴ (a number of 33 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (44) 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 (82856561) 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, 2399 + ... + 13094.

It is an arithmetic number, because the mean of its divisors is an integer number (6941312).

Almost surely, 2^82856564 is an apocalyptic number.

It is an amenable number.

82856564 is an abundant number, since it is smaller than the sum of its proper divisors (83734924).

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

82856564 is a wasteful number, since it uses less digits than its factorization.

82856564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15695 (or 15693 counting only the distinct ones).

The product of its digits is 460800, while the sum is 44.

The square root of 82856564 is about 9102.5581019843. The cubic root of 82856564 is about 435.9556459664.

The spelling of 82856564 in words is "eighty-two million, eight hundred fifty-six thousand, five hundred sixty-four".