82192356 has 27 divisors (see below), whose sum is σ = 207901603. Its totient is φ = 27379320.

The previous prime is 82192343. The next prime is 82192361. The reversal of 82192356 is 65329128.

The square root of 82192356 is 9066.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82192356.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53641 + ... + 55151.

Almost surely, 2^82192356 is an apocalyptic number.

82192356 is the 9066-th square number.

It is an amenable number.

82192356 is an abundant number, since it is smaller than the sum of its proper divisors (125709247).

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

82192356 is a wasteful number, since it uses less digits than its factorization.

82192356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 1516 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The cubic root of 82192356 is about 434.7875934866.

Multiplying 82192356 by its sum of digits (36), we get a square (2958924816 = 54396²).

82192356 divided by its sum of digits (36) gives a square (2283121 = 1511²).

The spelling of 82192356 in words is "eighty-two million, one hundred ninety-two thousand, three hundred fifty-six".