225162 has 24 divisors (see below), whose sum is σ = 557856. Its totient is φ = 64296.

The previous prime is 225161. The next prime is 225163. The reversal of 225162 is 261522.

225162 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225161) and next prime (225163).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225162.

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 11 ways as a sum of consecutive naturals, for example, 768 + ... + 1019.

It is an arithmetic number, because the mean of its divisors is an integer number (23244).

2²²⁵¹⁶² is an apocalyptic number.

225162 is an abundant number, since it is smaller than the sum of its proper divisors (332694).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225162 is a wasteful number, since it uses less digits than its factorization.

225162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1799 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 225162 is about 474.5123812926. The cubic root of 225162 is about 60.8366137386.

Adding to 225162 its reverse (261522), we get a palindrome (486684).

It can be divided in two parts, 22 and 5162, that added together give a square (5184 = 72²).

The spelling of 225162 in words is "two hundred twenty-five thousand, one hundred sixty-two".