83492136 has 96 divisors (see below), whose sum is σ = 278328960. Its totient is φ = 22018176.

The previous prime is 83492089. The next prime is 83492141. The reversal of 83492136 is 63129438.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 83492136.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181 + ... + 12923.

It is an arithmetic number, because the mean of its divisors is an integer number (2899260).

Almost surely, 2^83492136 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 83492136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139164480).

83492136 is an abundant number, since it is smaller than the sum of its proper divisors (194836824).

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

83492136 is a wasteful number, since it uses less digits than its factorization.

83492136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12775 (or 12768 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 83492136 is about 9137.4031321815. The cubic root of 83492136 is about 437.0675101276.

The spelling of 83492136 in words is "eighty-three million, four hundred ninety-two thousand, one hundred thirty-six".