225164 has 12 divisors (see below), whose sum is σ = 397488. Its totient is φ = 111600.

The previous prime is 225163. The next prime is 225167. The reversal of 225164 is 461522.

It is a happy number.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225164.

It is not an unprimeable number, because it can be changed into a prime (225161) 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 3 ways as a sum of consecutive naturals, for example, 569 + ... + 879.

It is an arithmetic number, because the mean of its divisors is an integer number (33124).

2²²⁵¹⁶⁴ is an apocalyptic number.

It is an amenable number.

225164 is a deficient number, since it is larger than the sum of its proper divisors (172324).

225164 is a wasteful number, since it uses less digits than its factorization.

225164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 494 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 225164 is about 474.5144887145. The cubic root of 225164 is about 60.8367938650.

Adding to 225164 its reverse (461522), we get a palindrome (686686).

The spelling of 225164 in words is "two hundred twenty-five thousand, one hundred sixty-four".