225616 has 20 divisors (see below), whose sum is σ = 446400. Its totient is φ = 110432.

The previous prime is 225613. The next prime is 225619. The reversal of 225616 is 616522.

It is an interprime number because it is at equal distance from previous prime (225613) and next prime (225619).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225611) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 825 + ... + 1063.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2²²⁵⁶¹⁶ is an apocalyptic number.

It is an amenable number.

225616 is a deficient number, since it is larger than the sum of its proper divisors (220784).

225616 is a wasteful number, since it uses less digits than its factorization.

225616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 225616 is about 474.9905262213. The cubic root of 225616 is about 60.8774751034.

It can be divided in two parts, 225 and 616, that added together give a square (841 = 29²).

The spelling of 225616 in words is "two hundred twenty-five thousand, six hundred sixteen".