359385 has 32 divisors (see below), whose sum is σ = 658560. Its totient is φ = 165888.

The previous prime is 359377. The next prime is 359389. The reversal of 359385 is 583953.

It is not a de Polignac number, because 359385 - 2³ = 359377 is a prime.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359389) 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 31 ways as a sum of consecutive naturals, for example, 3657 + ... + 3753.

It is an arithmetic number, because the mean of its divisors is an integer number (20580).

2³⁵⁹³⁸⁵ is an apocalyptic number.

It is an amenable number.

359385 is a deficient number, since it is larger than the sum of its proper divisors (299175).

359385 is a wasteful number, since it uses less digits than its factorization.

359385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137.

The product of its digits is 16200, while the sum is 33.

The square root of 359385 is about 599.4872809326. The cubic root of 359385 is about 71.0973339376.

The spelling of 359385 in words is "three hundred fifty-nine thousand, three hundred eighty-five".