392085 has 12 divisors (see below), whose sum is σ = 679692. Its totient is φ = 209088.

The previous prime is 392069. The next prime is 392087. The reversal of 392085 is 580293.

It can be written as a sum of positive squares in 2 ways, for example, as 285156 + 106929 = 534^2 + 327^2 .

It is not a de Polignac number, because 392085 - 2⁴ = 392069 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 392085.

It is not an unprimeable number, because it can be changed into a prime (392087) 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 11 ways as a sum of consecutive naturals, for example, 4312 + ... + 4401.

It is an arithmetic number, because the mean of its divisors is an integer number (56641).

2³⁹²⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

392085 is a deficient number, since it is larger than the sum of its proper divisors (287607).

392085 is a wasteful number, since it uses less digits than its factorization.

392085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8724 (or 8721 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 392085 is about 626.1669106556. The cubic root of 392085 is about 73.1914036308.

It can be divided in two parts, 3920 and 85, that added together give a triangular number (4005 = T₈₉).

The spelling of 392085 in words is "three hundred ninety-two thousand, eighty-five".