83576164 has 27 divisors (see below), whose sum is σ = 170398137. Its totient is φ = 35763504.

The previous prime is 83576153. The next prime is 83576183. The reversal of 83576164 is 46167538.

It is a happy number.

The square root of 83576164 is 9142.

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

It can be written as a sum of positive squares in only one way, i.e., 19448100 + 64128064 = 4410^2 + 8008^2 .

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, 127662 + ... + 128314.

Almost surely, 2^83576164 is an apocalyptic number.

83576164 is the 9142-nd square number.

It is an amenable number.

83576164 is an abundant number, since it is smaller than the sum of its proper divisors (86821973).

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

83576164 is an equidigital number, since it uses as much as digits as its factorization.

83576164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 662 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The cubic root of 83576164 is about 437.2140851898.

The spelling of 83576164 in words is "eighty-three million, five hundred seventy-six thousand, one hundred sixty-four".