86364117 has 48 divisors (see below), whose sum is σ = 154036800. Its totient is φ = 47628000.

The previous prime is 86364107. The next prime is 86364119. The reversal of 86364117 is 71146368.

86364117 is a `hidden beast` number, since 8 + 6 + 3 + 641 + 1 + 7 = 666.

It is not a de Polignac number, because 86364117 - 2⁶ = 86364053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86364119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37242 + ... + 39492.

It is an arithmetic number, because the mean of its divisors is an integer number (3209100).

Almost surely, 2^86364117 is an apocalyptic number.

86364117 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

86364117 is a deficient number, since it is larger than the sum of its proper divisors (67672683).

86364117 is a wasteful number, since it uses less digits than its factorization.

86364117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2290 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 86364117 is about 9293.2296323722. The cubic root of 86364117 is about 442.0225703891.

It can be divided in two parts, 863 and 64117, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 86364117 in words is "eighty-six million, three hundred sixty-four thousand, one hundred seventeen".