225126 has 32 divisors (see below), whose sum is σ = 547200. Its totient is φ = 68040.

The previous prime is 225119. The next prime is 225133. The reversal of 225126 is 621522.

It is an interprime number because it is at equal distance from previous prime (225119) and next prime (225133).

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

It is a junction number, because it is equal to n+sod(n) for n = 225099 and 225108.

It is a congruent number.

It is an unprimeable number.

225126 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405 + ... + 783.

It is an arithmetic number, because the mean of its divisors is an integer number (17100).

2²²⁵¹²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273600).

225126 is an abundant number, since it is smaller than the sum of its proper divisors (322074).

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

225126 is a wasteful number, since it uses less digits than its factorization.

225126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

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

The square root of 225126 is about 474.4744460980. The cubic root of 225126 is about 60.8333712808.

Adding to 225126 its reverse (621522), we get a palindrome (846648).

It can be divided in two parts, 225 and 126, that added together give a triangular number (351 = T₂₆).

The spelling of 225126 in words is "two hundred twenty-five thousand, one hundred twenty-six".