82251296 has 48 divisors (see below), whose sum is σ = 167924736. Its totient is φ = 39626496.

The previous prime is 82251271. The next prime is 82251311. The reversal of 82251296 is 69215228.

It is a happy number.

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, 150095 + ... + 150641.

It is an arithmetic number, because the mean of its divisors is an integer number (3498432).

Almost surely, 2^82251296 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 82251296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83962368).

82251296 is an abundant number, since it is smaller than the sum of its proper divisors (85673440).

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

82251296 is a wasteful number, since it uses less digits than its factorization.

82251296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 713 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 82251296 is about 9069.2500241200. The cubic root of 82251296 is about 434.8914971378.

The spelling of 82251296 in words is "eighty-two million, two hundred fifty-one thousand, two hundred ninety-six".