393325 has 6 divisors (see below), whose sum is σ = 487754. Its totient is φ = 314640.

The previous prime is 393311. The next prime is 393331. The reversal of 393325 is 523393.

It can be written as a sum of positive squares in 3 ways, for example, as 196 + 393129 = 14^2 + 627^2 .

It is not a de Polignac number, because 393325 - 2¹⁷ = 262253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 15733 = 393325 / (3 + 9 + 3 + 3 + 2 + 5).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 393325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7842 + ... + 7891.

2³⁹³³²⁵ is an apocalyptic number.

It is an amenable number.

393325 is a deficient number, since it is larger than the sum of its proper divisors (94429).

393325 is a wasteful number, since it uses less digits than its factorization.

393325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15743 (or 15738 counting only the distinct ones).

The product of its digits is 2430, while the sum is 25.

The square root of 393325 is about 627.1562803640. The cubic root of 393325 is about 73.2684803127.

It can be divided in two parts, 39 and 3325, that added together give a square (3364 = 58²).

The spelling of 393325 in words is "three hundred ninety-three thousand, three hundred twenty-five".