82193810 has 32 divisors (see below), whose sum is σ = 164903040. Its totient is φ = 29313792.

The previous prime is 82193809. The next prime is 82193843. The reversal of 82193810 is 1839128.

It is a super-2 number, since 2×82193810² = 13511644804632200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9494 + ... + 15953.

It is an arithmetic number, because the mean of its divisors is an integer number (5153220).

Almost surely, 2^82193810 is an apocalyptic number.

82193810 is an abundant number, since it is smaller than the sum of its proper divisors (82709230).

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

82193810 is a wasteful number, since it uses less digits than its factorization.

82193810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25490.

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 82193810 is about 9066.0801893652. The cubic root of 82193810 is about 434.7901572994.

The spelling of 82193810 in words is "eighty-two million, one hundred ninety-three thousand, eight hundred ten".