359316 has 30 divisors (see below), whose sum is σ = 940170. Its totient is φ = 119664.

The previous prime is 359311. The next prime is 359323. The reversal of 359316 is 613953.

It can be written as a sum of positive squares in only one way, i.e., 202500 + 156816 = 450^2 + 396^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 359316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359311) by changing a digit.

359316 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 9 ways as a sum of consecutive naturals, for example, 231 + ... + 878.

It is an arithmetic number, because the mean of its divisors is an integer number (31339).

2³⁵⁹³¹⁶ is an apocalyptic number.

359316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

359316 is an abundant number, since it is smaller than the sum of its proper divisors (580854).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

359316 is a wasteful number, since it uses less digits than its factorization.

359316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1114 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 359316 is about 599.4297289925. The cubic root of 359316 is about 71.0927835436.

It can be divided in two parts, 35931 and 6, that added together give a cube (35937 = 33³).

The spelling of 359316 in words is "three hundred fifty-nine thousand, three hundred sixteen".