82160013 has 16 divisors (see below), whose sum is σ = 121780736. Its totient is φ = 48928320.

The previous prime is 82160003. The next prime is 82160021. The reversal of 82160013 is 31006128.

It is not a de Polignac number, because 82160013 - 2⁸ = 82159757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82160003) 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, 32770 + ... + 35187.

It is an arithmetic number, because the mean of its divisors is an integer number (7611296).

Almost surely, 2^82160013 is an apocalyptic number.

It is an amenable number.

82160013 is a deficient number, since it is larger than the sum of its proper divisors (39620723).

82160013 is a wasteful number, since it uses less digits than its factorization.

82160013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68004.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 82160013 is about 9064.2160720053. The cubic root of 82160013 is about 434.7305558222.

The spelling of 82160013 in words is "eighty-two million, one hundred sixty thousand, thirteen".