82031292 has 90 divisors (see below), whose sum is σ = 249505872. Its totient is φ = 23432976.

The previous prime is 82031269. The next prime is 82031293. The reversal of 82031292 is 29213028.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82031293) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13293 + ... + 18459.

Almost surely, 2^82031292 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 82031292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124752936).

82031292 is an abundant number, since it is smaller than the sum of its proper divisors (167474580).

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

82031292 is a wasteful number, since it uses less digits than its factorization.

82031292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5197 (or 5179 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 82031292 is about 9057.1127849884. The cubic root of 82031292 is about 434.5034047660.

The spelling of 82031292 in words is "eighty-two million, thirty-one thousand, two hundred ninety-two".