368985 has 16 divisors (see below), whose sum is σ = 625536. Its totient is φ = 185088.

The previous prime is 368957. The next prime is 369007. The reversal of 368985 is 589863.

368985 = T₁₃₀ + T₁₃₁ + ... + T₁₆₃.

368985 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 368985 - 2⁷ = 368857 is a prime.

It is a super-2 number, since 2×368985² = 272299860450, which contains 22 as substring.

368985 is strictly pandigital in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368985.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469 + ... + 978.

It is an arithmetic number, because the mean of its divisors is an integer number (39096).

2³⁶⁸⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

368985 is a deficient number, since it is larger than the sum of its proper divisors (256551).

368985 is a wasteful number, since it uses less digits than its factorization.

368985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472.

The product of its digits is 51840, while the sum is 39.

The square root of 368985 is about 607.4413551941. The cubic root of 368985 is about 71.7248370933.

The spelling of 368985 in words is "three hundred sixty-eight thousand, nine hundred eighty-five".