83645217 has 24 divisors (see below), whose sum is σ = 126506016. Its totient is φ = 55225152.

The previous prime is 83645209. The next prime is 83645231. The reversal of 83645217 is 71254638.

83645217 is a `hidden beast` number, since 8 + 3 + 645 + 2 + 1 + 7 = 666.

It is not a de Polignac number, because 83645217 - 2³ = 83645209 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (83645267) 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 23 ways as a sum of consecutive naturals, for example, 24393 + ... + 27609.

It is an arithmetic number, because the mean of its divisors is an integer number (5271084).

Almost surely, 2^83645217 is an apocalyptic number.

It is an amenable number.

83645217 is a deficient number, since it is larger than the sum of its proper divisors (42860799).

83645217 is a wasteful number, since it uses less digits than its factorization.

83645217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3327 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 83645217 is about 9145.7759102222. The cubic root of 83645217 is about 437.3344649397.

The spelling of 83645217 in words is "eighty-three million, six hundred forty-five thousand, two hundred seventeen".