82981296 has 120 divisors (see below), whose sum is σ = 248376960. Its totient is φ = 25804800.

The previous prime is 82981277. The next prime is 82981313. The reversal of 82981296 is 69218928.

It is a nude number because it is divisible by every one of its digits.

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, 129136 + ... + 129776.

It is an arithmetic number, because the mean of its divisors is an integer number (2069808).

Almost surely, 2^82981296 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 82981296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124188480).

82981296 is an abundant number, since it is smaller than the sum of its proper divisors (165395664).

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

82981296 is a wasteful number, since it uses less digits than its factorization.

82981296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 82981296 is about 9109.4070059472. The cubic root of 82981296 is about 436.1742983506.

The spelling of 82981296 in words is "eighty-two million, nine hundred eighty-one thousand, two hundred ninety-six".