363857 has 6 divisors (see below), whose sum is σ = 394182. Its totient is φ = 335712.

The previous prime is 363841. The next prime is 363871. The reversal of 363857 is 758363.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 22801 + 341056 = 151^2 + 584^2 .

It is not a de Polignac number, because 363857 - 2⁴ = 363841 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (363887) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 908 + ... + 1245.

It is an arithmetic number, because the mean of its divisors is an integer number (65697).

2³⁶³⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

363857 is a deficient number, since it is larger than the sum of its proper divisors (30325).

363857 is a wasteful number, since it uses less digits than its factorization.

363857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2166 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 363857 is about 603.2056034222. The cubic root of 363857 is about 71.3910185461.

The spelling of 363857 in words is "three hundred sixty-three thousand, eight hundred fifty-seven".