83164968 has 40 divisors (see below), whose sum is σ = 232940730. Its totient is φ = 27721440.

The previous prime is 83164931. The next prime is 83164979. The reversal of 83164968 is 86946138.

It can be written as a sum of positive squares in only one way, i.e., 54199044 + 28965924 = 7362^2 + 5382^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 63523 + ... + 64818.

Almost surely, 2^83164968 is an apocalyptic number.

It is an amenable number.

83164968 is an abundant number, since it is smaller than the sum of its proper divisors (149775762).

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

83164968 is a wasteful number, since it uses less digits than its factorization.

83164968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128359 (or 128346 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 83164968 is about 9119.4828800760. The cubic root of 83164968 is about 436.4958727069.

The spelling of 83164968 in words is "eighty-three million, one hundred sixty-four thousand, nine hundred sixty-eight".