82201792 has 28 divisors (see below), whose sum is σ = 163577016. Its totient is φ = 40985600.

The previous prime is 82201759. The next prime is 82201799. The reversal of 82201792 is 29710228.

It is a super-2 number, since 2×82201792² = 13514269216022528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82201799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24063 + ... + 27265.

Almost surely, 2^82201792 is an apocalyptic number.

It is an amenable number.

82201792 is a deficient number, since it is larger than the sum of its proper divisors (81375224).

82201792 is a wasteful number, since it uses less digits than its factorization.

82201792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 82201792 is about 9066.5203909769. The cubic root of 82201792 is about 434.8042312818.

The spelling of 82201792 in words is "eighty-two million, two hundred one thousand, seven hundred ninety-two".