225707 has 8 divisors (see below), whose sum is σ = 240240. Its totient is φ = 211680.

The previous prime is 225697. The next prime is 225721. The reversal of 225707 is 707522.

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

It is a cyclic number.

It is not a de Polignac number, because 225707 - 2¹⁰ = 224683 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225707.

It is not an unprimeable number, because it can be changed into a prime (225767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1157 + ... + 1337.

It is an arithmetic number, because the mean of its divisors is an integer number (30030).

2²²⁵⁷⁰⁷ is an apocalyptic number.

225707 is a deficient number, since it is larger than the sum of its proper divisors (14533).

225707 is a wasteful number, since it uses less digits than its factorization.

225707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253.

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 225707 is about 475.0863079484. The cubic root of 225707 is about 60.8856587807.

The spelling of 225707 in words is "two hundred twenty-five thousand, seven hundred seven".