82713906 has 48 divisors (see below), whose sum is σ = 202053600. Its totient is φ = 25062840.

The previous prime is 82713893. The next prime is 82713913. The reversal of 82713906 is 60931728.

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, 205 + ... + 12863.

It is an arithmetic number, because the mean of its divisors is an integer number (4209450).

Almost surely, 2^82713906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82713906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101026800).

82713906 is an abundant number, since it is smaller than the sum of its proper divisors (119339694).

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

82713906 is a wasteful number, since it uses less digits than its factorization.

82713906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12692 (or 12675 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 82713906 is about 9094.7185772843. The cubic root of 82713906 is about 435.7053005301.

The spelling of 82713906 in words is "eighty-two million, seven hundred thirteen thousand, nine hundred six".