85366413 has 32 divisors (see below), whose sum is σ = 139668480. Its totient is φ = 51099120.

The previous prime is 85366403. The next prime is 85366427. The reversal of 85366413 is 31466358.

85366413 is a `hidden beast` number, since 8 + 5 + 3 + 6 + 641 + 3 = 666.

It is not a de Polignac number, because 85366413 - 2⁶ = 85366349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85366403) 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 31 ways as a sum of consecutive naturals, for example, 22920 + ... + 26382.

It is an arithmetic number, because the mean of its divisors is an integer number (4364640).

Almost surely, 2^85366413 is an apocalyptic number.

85366413 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

85366413 is a deficient number, since it is larger than the sum of its proper divisors (54302067).

85366413 is a wasteful number, since it uses less digits than its factorization.

85366413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3560 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 85366413 is about 9239.3946230259. The cubic root of 85366413 is about 440.3138480515.

The spelling of 85366413 in words is "eighty-five million, three hundred sixty-six thousand, four hundred thirteen".