83164872 has 64 divisors (see below), whose sum is σ = 247956480. Its totient is φ = 22727232.

The previous prime is 83164871. The next prime is 83164931. The reversal of 83164872 is 27846138.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83164872.

It is not an unprimeable number, because it can be changed into a prime (83164871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6898 + ... + 14625.

It is an arithmetic number, because the mean of its divisors is an integer number (3874320).

Almost surely, 2^83164872 is an apocalyptic number.

It is an amenable number.

83164872 is an abundant number, since it is smaller than the sum of its proper divisors (164791608).

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

83164872 is a wasteful number, since it uses less digits than its factorization.

83164872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21562 (or 21558 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 83164872 is about 9119.4776166182. The cubic root of 83164872 is about 436.4957047531.

It can be divided in two parts, 831 and 64872, that added together give a triangular number (65703 = T₃₆₂).

The spelling of 83164872 in words is "eighty-three million, one hundred sixty-four thousand, eight hundred seventy-two".