83279392 has 96 divisors (see below), whose sum is σ = 197406720. Its totient is φ = 33834240.

The previous prime is 83279363. The next prime is 83279401. The reversal of 83279392 is 29397238.

It is a happy number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465159 + ... + 465337.

It is an arithmetic number, because the mean of its divisors is an integer number (2056320).

Almost surely, 2^83279392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83279392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

83279392 is an abundant number, since it is smaller than the sum of its proper divisors (114127328).

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

83279392 is a wasteful number, since it uses less digits than its factorization.

83279392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its digits is 163296, while the sum is 43.

The square root of 83279392 is about 9125.7543249860. The cubic root of 83279392 is about 436.6959678361.

The spelling of 83279392 in words is "eighty-three million, two hundred seventy-nine thousand, three hundred ninety-two".