225957 has 8 divisors (see below), whose sum is σ = 304480. Its totient is φ = 149040.

The previous prime is 225949. The next prime is 225961. The reversal of 225957 is 759522.

It is a happy number.

225957 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 225957 - 2³ = 225949 is a prime.

It is a Duffinian number.

225957 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (38060).

2²²⁵⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

225957 is a deficient number, since it is larger than the sum of its proper divisors (78523).

225957 is a wasteful number, since it uses less digits than its factorization.

225957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803.

The product of its digits is 6300, while the sum is 30.

The square root of 225957 is about 475.3493452189. The cubic root of 225957 is about 60.9081300941.

The spelling of 225957 in words is "two hundred twenty-five thousand, nine hundred fifty-seven".