82961217 has 12 divisors (see below), whose sum is σ = 119932800. Its totient is φ = 55261368.

The previous prime is 82961213. The next prime is 82961237. The reversal of 82961217 is 71216928.

82961217 is a `hidden beast` number, since 8 + 29 + 612 + 17 = 666.

It is not a de Polignac number, because 82961217 - 2² = 82961213 is a prime.

It is a super-2 number, since 2×82961217² = 13765127052242178, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82961213) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10284 + ... + 16482.

It is an arithmetic number, because the mean of its divisors is an integer number (9994400).

Almost surely, 2^82961217 is an apocalyptic number.

It is an amenable number.

82961217 is a deficient number, since it is larger than the sum of its proper divisors (36971583).

82961217 is a wasteful number, since it uses less digits than its factorization.

82961217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7692 (or 7689 counting only the distinct ones).

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

The square root of 82961217 is about 9108.3048367959. The cubic root of 82961217 is about 436.1391151200.

The spelling of 82961217 in words is "eighty-two million, nine hundred sixty-one thousand, two hundred seventeen".