359953 has 8 divisors (see below), whose sum is σ = 402336. Its totient is φ = 319200.

The previous prime is 359929. The next prime is 359981.

It is a happy number.

359953 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 359953 - 2⁹ = 359441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (359153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93 + ... + 853.

It is an arithmetic number, because the mean of its divisors is an integer number (50292).

2³⁵⁹⁹⁵³ is an apocalyptic number.

It is an amenable number.

359953 is a deficient number, since it is larger than the sum of its proper divisors (42383).

359953 is a wasteful number, since it uses less digits than its factorization.

359953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815.

The product of its digits is 18225, while the sum is 34.

The square root of 359953 is about 599.9608320549. The cubic root of 359953 is about 71.1347701405.

The spelling of 359953 in words is "three hundred fifty-nine thousand, nine hundred fifty-three".