82713952 has 48 divisors (see below), whose sum is σ = 169344000. Its totient is φ = 39726720.

The previous prime is 82713949. The next prime is 82713977. The reversal of 82713952 is 25931728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197199 + ... + 197617.

It is an arithmetic number, because the mean of its divisors is an integer number (3528000).

Almost surely, 2^82713952 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 82713952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

82713952 is an abundant number, since it is smaller than the sum of its proper divisors (86630048).

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

82713952 is a wasteful number, since it uses less digits than its factorization.

82713952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 651 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 82713952 is about 9094.7211062242. The cubic root of 82713952 is about 435.7053813002.

The spelling of 82713952 in words is "eighty-two million, seven hundred thirteen thousand, nine hundred fifty-two".