83672164 has 24 divisors (see below), whose sum is σ = 155734488. Its totient is φ = 39198720.

The previous prime is 83672159. The next prime is 83672179. The reversal of 83672164 is 46127638.

It can be written as a sum of positive squares in 4 ways, for example, as 2528100 + 81144064 = 1590^2 + 9008^2 .

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, 13204 + ... + 18484.

It is an arithmetic number, because the mean of its divisors is an integer number (6488937).

Almost surely, 2^83672164 is an apocalyptic number.

It is an amenable number.

83672164 is a deficient number, since it is larger than the sum of its proper divisors (72062324).

83672164 is a wasteful number, since it uses less digits than its factorization.

83672164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535 (or 5533 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 83672164 is about 9147.2489853507. The cubic root of 83672164 is about 437.3814235384.

The spelling of 83672164 in words is "eighty-three million, six hundred seventy-two thousand, one hundred sixty-four".