82216971 has 32 divisors (see below), whose sum is σ = 129248000. Its totient is φ = 51508224.

The previous prime is 82216963. The next prime is 82216987. The reversal of 82216971 is 17961228.

It is not a de Polignac number, because 82216971 - 2³ = 82216963 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82216921) 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 31 ways as a sum of consecutive naturals, for example, 70731 + ... + 71883.

It is an arithmetic number, because the mean of its divisors is an integer number (4039000).

Almost surely, 2^82216971 is an apocalyptic number.

82216971 is a deficient number, since it is larger than the sum of its proper divisors (47031029).

82216971 is a wasteful number, since it uses less digits than its factorization.

82216971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1314 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 82216971 is about 9067.3574430481. The cubic root of 82216971 is about 434.8309926093.

The spelling of 82216971 in words is "eighty-two million, two hundred sixteen thousand, nine hundred seventy-one".