353625 has 32 divisors (see below), whose sum is σ = 628992. Its totient is φ = 176000.

The previous prime is 353621. The next prime is 353627. The reversal of 353625 is 526353.

It is not a de Polignac number, because 353625 - 2² = 353621 is a prime.

353625 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 353595 and 353604.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 353625.

It is not an unprimeable number, because it can be changed into a prime (353621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8605 + ... + 8645.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2³⁵³⁶²⁵ is an apocalyptic number.

It is an amenable number.

353625 is a deficient number, since it is larger than the sum of its proper divisors (275367).

353625 is a wasteful number, since it uses less digits than its factorization.

353625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 72 counting only the distinct ones).

The product of its digits is 2700, while the sum is 24.

The square root of 353625 is about 594.6637705460. The cubic root of 353625 is about 70.7154517568.

Adding to 353625 its reverse (526353), we get a palindrome (879978).

It can be divided in two parts, 3 and 53625, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 353625 in words is "three hundred fifty-three thousand, six hundred twenty-five".