82811872 has 48 divisors (see below), whose sum is σ = 191549232. Its totient is φ = 34744320.

The previous prime is 82811867. The next prime is 82811887. The reversal of 82811872 is 27811828.

It is a super-2 number, since 2×82811872² = 13715612288288768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4473 + ... + 13624.

It is an arithmetic number, because the mean of its divisors is an integer number (3990609).

Almost surely, 2^82811872 is an apocalyptic number.

It is an amenable number.

82811872 is an abundant number, since it is smaller than the sum of its proper divisors (108737360).

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

82811872 is a wasteful number, since it uses less digits than its factorization.

82811872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18131 (or 18123 counting only the distinct ones).

The product of its digits is 14336, while the sum is 37.

The square root of 82811872 is about 9100.1028565616. The cubic root of 82811872 is about 435.8772485008.

It can be divided in two parts, 8281 and 1872, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 82811872 in words is "eighty-two million, eight hundred eleven thousand, eight hundred seventy-two".