82547296 has 96 divisors (see below), whose sum is σ = 186617088. Its totient is φ = 35665920.

The previous prime is 82547293. The next prime is 82547317. The reversal of 82547296 is 69274528.

Its product of digits (241920) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82547293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477066 + ... + 477238.

It is an arithmetic number, because the mean of its divisors is an integer number (1943928).

Almost surely, 2^82547296 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 82547296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93308544).

82547296 is an abundant number, since it is smaller than the sum of its proper divisors (104069792).

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

82547296 is a wasteful number, since it uses less digits than its factorization.

82547296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 82547296 is about 9085.5542483659. The cubic root of 82547296 is about 435.4125579135.

The spelling of 82547296 in words is "eighty-two million, five hundred forty-seven thousand, two hundred ninety-six".