78117 has 8 divisors (see below), whose sum is σ = 112224. Its totient is φ = 48048.

The previous prime is 78101. The next prime is 78121. The reversal of 78117 is 71187.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 78117 - 2⁴ = 78101 is a prime.

It is a super-2 number, since 2×78117² = 12204531378, which contains 22 as substring.

78117 is a modest number, since divided by 117 gives 78 as remainder.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 963 + ... + 1040.

It is an arithmetic number, because the mean of its divisors is an integer number (14028).

78117 is a Friedman number, since it can be written as (7-1-1)^7-8, using all its digits and the basic arithmetic operations.

2⁷⁸¹¹⁷ is an apocalyptic number.

It is an amenable number.

78117 is a deficient number, since it is larger than the sum of its proper divisors (34107).

78117 is a wasteful number, since it uses less digits than its factorization.

78117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019.

The product of its digits is 392, while the sum is 24.

The square root of 78117 is about 279.4941859860. The cubic root of 78117 is about 42.7479394376.

The spelling of 78117 in words is "seventy-eight thousand, one hundred seventeen".