82210491 has 32 divisors (see below), whose sum is σ = 133943040. Its totient is φ = 49420800.

The previous prime is 82210477. The next prime is 82210501. The reversal of 82210491 is 19401228.

It is not a de Polignac number, because 82210491 - 2⁵ = 82210459 is a prime.

It is a super-2 number, since 2×82210491² = 13517129660922162, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82210451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37851 + ... + 39963.

It is an arithmetic number, because the mean of its divisors is an integer number (4185720).

Almost surely, 2^82210491 is an apocalyptic number.

82210491 is a deficient number, since it is larger than the sum of its proper divisors (51732549).

82210491 is a wasteful number, since it uses less digits than its factorization.

82210491 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 82210491 is about 9067.0001102901. Note that the first 3 decimals coincide. The cubic root of 82210491 is about 434.8195684518.

The spelling of 82210491 in words is "eighty-two million, two hundred ten thousand, four hundred ninety-one".