84131892 has 96 divisors (see below), whose sum is σ = 242600960. Its totient is φ = 25038720.

The previous prime is 84131881. The next prime is 84131893. The reversal of 84131892 is 29813148.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84131893) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42558 + ... + 44490.

Almost surely, 2^84131892 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 84131892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121300480).

84131892 is an abundant number, since it is smaller than the sum of its proper divisors (158469068).

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

84131892 is a wasteful number, since it uses less digits than its factorization.

84131892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1982 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 84131892 is about 9172.3438662100. The cubic root of 84131892 is about 438.1810098160.

The spelling of 84131892 in words is "eighty-four million, one hundred thirty-one thousand, eight hundred ninety-two".