85379217 has 64 divisors (see below), whose sum is σ = 152832000. Its totient is φ = 41912640.

The previous prime is 85379207. The next prime is 85379233. The reversal of 85379217 is 71297358.

It is not a de Polignac number, because 85379217 - 2⁷ = 85379089 is a prime.

It is a super-2 number, since 2×85379217² = 14579221391066178, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85379207) 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 63 ways as a sum of consecutive naturals, for example, 214863 + ... + 215259.

It is an arithmetic number, because the mean of its divisors is an integer number (2388000).

Almost surely, 2^85379217 is an apocalyptic number.

It is an amenable number.

85379217 is a deficient number, since it is larger than the sum of its proper divisors (67452783).

85379217 is a wasteful number, since it uses less digits than its factorization.

85379217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 85379217 is about 9240.0874995857. The cubic root of 85379217 is about 440.3358609895.

The spelling of 85379217 in words is "eighty-five million, three hundred seventy-nine thousand, two hundred seventeen".