225891257 has 32 divisors (see below), whose sum is σ = 258785280. Its totient is φ = 196035840.

The previous prime is 225891251. The next prime is 225891269. The reversal of 225891257 is 752198522.

It is not a de Polignac number, because 225891257 - 2⁴ = 225891241 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225891251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2193068 + ... + 2193170.

It is an arithmetic number, because the mean of its divisors is an integer number (8087040).

Almost surely, 2^225891257 is an apocalyptic number.

It is an amenable number.

225891257 is a deficient number, since it is larger than the sum of its proper divisors (32894023).

225891257 is a wasteful number, since it uses less digits than its factorization.

225891257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293.

The product of its digits is 100800, while the sum is 41.

The square root of 225891257 is about 15029.6792048267. The cubic root of 225891257 is about 609.0222237480.

The spelling of 225891257 in words is "two hundred twenty-five million, eight hundred ninety-one thousand, two hundred fifty-seven".