225747 has 12 divisors (see below), whose sum is σ = 338520. Its totient is φ = 150336.

The previous prime is 225733. The next prime is 225749. The reversal of 225747 is 747522.

It is not a de Polignac number, because 225747 - 2⁶ = 225683 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 225747.

It is not an unprimeable number, because it can be changed into a prime (225749) 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, 222 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (28210).

2²²⁵⁷⁴⁷ is an apocalyptic number.

225747 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

225747 is a deficient number, since it is larger than the sum of its proper divisors (112773).

225747 is an frugal number, since it uses more digits than its factorization.

225747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 932 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 225747 is about 475.1284036974. The cubic root of 225747 is about 60.8892553055.

It can be divided in two parts, 2257 and 47, that added together give a square (2304 = 48²).

The spelling of 225747 in words is "two hundred twenty-five thousand, seven hundred forty-seven".