390117 has 16 divisors (see below), whose sum is σ = 640640. Its totient is φ = 205632.

The previous prime is 390113. The next prime is 390119. The reversal of 390117 is 711093.

It is not a de Polignac number, because 390117 - 2² = 390113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

390117 is a modest number, since divided by 117 gives 39 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 390093 and 390102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390113) 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 15 ways as a sum of consecutive naturals, for example, 442 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (40040).

2³⁹⁰¹¹⁷ is an apocalyptic number.

It is an amenable number.

390117 is a deficient number, since it is larger than the sum of its proper divisors (250523).

390117 is a wasteful number, since it uses less digits than its factorization.

390117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452.

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 390117 is about 624.5934677852. The cubic root of 390117 is about 73.0687411537.

The spelling of 390117 in words is "three hundred ninety thousand, one hundred seventeen".