83144992 has 48 divisors (see below), whose sum is σ = 188879040. Its totient is φ = 35290368.

The previous prime is 83144987. The next prime is 83145037. The reversal of 83144992 is 29944138.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22234 + ... + 25702.

It is an arithmetic number, because the mean of its divisors is an integer number (3934980).

Almost surely, 2^83144992 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 83144992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94439520).

83144992 is an abundant number, since it is smaller than the sum of its proper divisors (105734048).

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

83144992 is a wasteful number, since it uses less digits than its factorization.

83144992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593 (or 3585 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 83144992 is about 9118.3875767594. The cubic root of 83144992 is about 436.4609215330.

The spelling of 83144992 in words is "eighty-three million, one hundred forty-four thousand, nine hundred ninety-two".