393825 has 24 divisors (see below), whose sum is σ = 669600. Its totient is φ = 204160.

The previous prime is 393797. The next prime is 393847. The reversal of 393825 is 528393.

393825 = T₄₆ + T₄₇ + ... + T₁₃₄.

It is a happy number.

It is not a de Polignac number, because 393825 - 2⁶ = 393761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 393792 and 393801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4381 + ... + 4469.

It is an arithmetic number, because the mean of its divisors is an integer number (27900).

2³⁹³⁸²⁵ is an apocalyptic number.

It is an amenable number.

393825 is a deficient number, since it is larger than the sum of its proper divisors (275775).

393825 is a wasteful number, since it uses less digits than its factorization.

393825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 156 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 393825 is about 627.5547784855. The cubic root of 393825 is about 73.2995137904.

The spelling of 393825 in words is "three hundred ninety-three thousand, eight hundred twenty-five".