359125 has 24 divisors (see below), whose sum is σ = 513864. Its totient is φ = 249600.

The previous prime is 359111. The next prime is 359129. The reversal of 359125 is 521953.

359125 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 12 ways, for example, as 321489 + 37636 = 567^2 + 194^2 .

It is not a de Polignac number, because 359125 - 2⁹ = 358613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 359125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21117 + ... + 21133.

It is an arithmetic number, because the mean of its divisors is an integer number (21411).

2³⁵⁹¹²⁵ is an apocalyptic number.

It is an amenable number.

359125 is a deficient number, since it is larger than the sum of its proper divisors (154739).

359125 is a wasteful number, since it uses less digits than its factorization.

359125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 35 counting only the distinct ones).

The product of its digits is 1350, while the sum is 25.

The square root of 359125 is about 599.2703897240. The cubic root of 359125 is about 71.0801844865.

359125 divided by its sum of digits (25) gives a triangular number (14365 = T₁₆₉).

It can be divided in two parts, 359 and 125, that added together give a palindrome (484).

The spelling of 359125 in words is "three hundred fifty-nine thousand, one hundred twenty-five".