82165710 has 32 divisors (see below), whose sum is σ = 215125632. Its totient is φ = 19918880.

The previous prime is 82165691. The next prime is 82165711. The reversal of 82165710 is 1756128.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82165711) 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, 124164 + ... + 124823.

It is an arithmetic number, because the mean of its divisors is an integer number (6722676).

Almost surely, 2^82165710 is an apocalyptic number.

82165710 is an abundant number, since it is smaller than the sum of its proper divisors (132959922).

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

82165710 is a wasteful number, since it uses less digits than its factorization.

82165710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249008.

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 82165710 is about 9064.5303242915. The cubic root of 82165710 is about 434.7406037057.

The spelling of 82165710 in words is "eighty-two million, one hundred sixty-five thousand, seven hundred ten".