82165810 has 32 divisors (see below), whose sum is σ = 153446400. Its totient is φ = 31644480.

The previous prime is 82165801. The next prime is 82165813. The reversal of 82165810 is 1856128.

It is a super-2 number, since 2×82165810² = 13502440665912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (82165813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73536 + ... + 74644.

It is an arithmetic number, because the mean of its divisors is an integer number (4795200).

Almost surely, 2^82165810 is an apocalyptic number.

82165810 is a deficient number, since it is larger than the sum of its proper divisors (71280590).

82165810 is a wasteful number, since it uses less digits than its factorization.

82165810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386.

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 82165810 is about 9064.5358402954. The cubic root of 82165810 is about 434.7407800731.

The spelling of 82165810 in words is "eighty-two million, one hundred sixty-five thousand, eight hundred ten".