82209968 has 20 divisors (see below), whose sum is σ = 159528480. Its totient is φ = 41041344.

The previous prime is 82209947. The next prime is 82209971. The reversal of 82209968 is 86990228.

It is a super-2 number, since 2×82209968² = 13516957677122048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 7721 + ... + 14967.

It is an arithmetic number, because the mean of its divisors is an integer number (7976424).

Almost surely, 2^82209968 is an apocalyptic number.

82209968 is the 4847-th centered heptagonal number.

It is an amenable number.

82209968 is a deficient number, since it is larger than the sum of its proper divisors (77318512).

82209968 is a wasteful number, since it uses less digits than its factorization.

82209968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7964 (or 7958 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 82209968 is about 9066.9712693931. The cubic root of 82209968 is about 434.8186463833.

The spelling of 82209968 in words is "eighty-two million, two hundred nine thousand, nine hundred sixty-eight".