82164291 has 16 divisors (see below), whose sum is σ = 123368448. Its totient is φ = 48189600.

The previous prime is 82164289. The next prime is 82164293. The reversal of 82164291 is 19246128.

It is an interprime number because it is at equal distance from previous prime (82164289) and next prime (82164293).

It is not a de Polignac number, because 82164291 - 2¹ = 82164289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (82164293) 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, 39136 + ... + 41181.

It is an arithmetic number, because the mean of its divisors is an integer number (7710528).

Almost surely, 2^82164291 is an apocalyptic number.

82164291 is a deficient number, since it is larger than the sum of its proper divisors (41204157).

82164291 is a wasteful number, since it uses less digits than its factorization.

82164291 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80362.

The product of its digits is 6912, while the sum is 33.

The square root of 82164291 is about 9064.4520518341. The cubic root of 82164291 is about 434.7381010378.

The spelling of 82164291 in words is "eighty-two million, one hundred sixty-four thousand, two hundred ninety-one".