920385 has 24 divisors (see below), whose sum is σ = 1618344. Its totient is φ = 483840.

The previous prime is 920377. The next prime is 920393. The reversal of 920385 is 583029.

It is an interprime number because it is at equal distance from previous prime (920377) and next prime (920393).

It can be written as a sum of positive squares in 4 ways, for example, as 104976 + 815409 = 324^2 + 903^2 .

It is not a de Polignac number, because 920385 - 2³ = 920377 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 920385.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4995 + ... + 5175.

It is an arithmetic number, because the mean of its divisors is an integer number (67431).

2⁹²⁰³⁸⁵ is an apocalyptic number.

It is an amenable number.

920385 is a deficient number, since it is larger than the sum of its proper divisors (697959).

920385 is a wasteful number, since it uses less digits than its factorization.

920385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 302 counting only the distinct ones).

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

The square root of 920385 is about 959.3669787938. The cubic root of 920385 is about 97.2724476392.

The spelling of 920385 in words is "nine hundred twenty thousand, three hundred eighty-five".