359955 has 24 divisors (see below), whose sum is σ = 658320. Its totient is φ = 181440.

The previous prime is 359929. The next prime is 359981. The reversal of 359955 is 559953.

It is an interprime number because it is at equal distance from previous prime (359929) and next prime (359981).

It is not a de Polignac number, because 359955 - 2¹⁰ = 358931 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645 + ... + 1065.

It is an arithmetic number, because the mean of its divisors is an integer number (27430).

2³⁵⁹⁹⁵⁵ is an apocalyptic number.

359955 is a deficient number, since it is larger than the sum of its proper divisors (298365).

359955 is a wasteful number, since it uses less digits than its factorization.

359955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 448 counting only the distinct ones).

The product of its digits is 30375, while the sum is 36.

The square root of 359955 is about 599.9624988281. The cubic root of 359955 is about 71.1349018885.

The spelling of 359955 in words is "three hundred fifty-nine thousand, nine hundred fifty-five".