393225 has 36 divisors (see below), whose sum is σ = 763344. Its totient is φ = 178080.

The previous prime is 393209. The next prime is 393241. The reversal of 393225 is 522393.

393225 = T₃₆ + T₃₇ + ... + T₁₃₃.

393225 = 63² + 64² + ... + 112².

393225 is nontrivially palindromic in base 4.

It is an interprime number because it is at equal distance from previous prime (393209) and next prime (393241).

It is not a de Polignac number, because 393225 - 2⁴ = 393209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 393195 and 393204.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3622 + ... + 3728.

It is an arithmetic number, because the mean of its divisors is an integer number (21204).

393225 is a Friedman number, since it can be written as 9+3*2^(5*3+2), using all its digits and the basic arithmetic operations.

2³⁹³²²⁵ is an apocalyptic number.

393225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

393225 is a deficient number, since it is larger than the sum of its proper divisors (370119).

393225 is a wasteful number, since it uses less digits than its factorization.

393225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 393225 is about 627.0765503509. The cubic root of 393225 is about 73.2622704617.

The spelling of 393225 in words is "three hundred ninety-three thousand, two hundred twenty-five".