392225 has 12 divisors (see below), whose sum is σ = 504060. Its totient is φ = 302400.

The previous prime is 392221. The next prime is 392233. The reversal of 392225 is 522293.

392225 = 32² + 33² + ... + 106².

It can be written as a sum of positive squares in 6 ways, for example, as 12769 + 379456 = 113^2 + 616^2 .

It is not a de Polignac number, because 392225 - 2² = 392221 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 392225.

It is not an unprimeable number, because it can be changed into a prime (392221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 455 + ... + 995.

It is an arithmetic number, because the mean of its divisors is an integer number (42005).

2³⁹²²²⁵ is an apocalyptic number.

It is an amenable number.

392225 is a deficient number, since it is larger than the sum of its proper divisors (111835).

392225 is a wasteful number, since it uses less digits than its factorization.

392225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 575 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 392225 is about 626.2786919575. The cubic root of 392225 is about 73.2001139676.

The spelling of 392225 in words is "three hundred ninety-two thousand, two hundred twenty-five".