353925 has 54 divisors (see below), whose sum is σ = 750386. Its totient is φ = 158400.

The previous prime is 353921. The next prime is 353929. The reversal of 353925 is 529353.

353925 = 5³ + 6³ + ... + 34³.

It is an interprime number because it is at equal distance from previous prime (353921) and next prime (353929).

It can be written as a sum of positive squares in 3 ways, for example, as 1089 + 352836 = 33^2 + 594^2 .

It is not a de Polignac number, because 353925 - 2² = 353921 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 353925.

It is not an unprimeable number, because it can be changed into a prime (353921) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 27219 + ... + 27231.

353925 is a Friedman number, since it can be written as 55^2*39*3, using all its digits and the basic arithmetic operations.

2³⁵³⁹²⁵ is an apocalyptic number.

It is an amenable number.

353925 is an abundant number, since it is smaller than the sum of its proper divisors (396461).

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

353925 is a wasteful number, since it uses less digits than its factorization.

353925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 32 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 353925 is about 594.9159604516. The cubic root of 353925 is about 70.7354434044.

The spelling of 353925 in words is "three hundred fifty-three thousand, nine hundred twenty-five".