225742 has 16 divisors (see below), whose sum is σ = 382464. Its totient is φ = 99000.

The previous prime is 225733. The next prime is 225749. The reversal of 225742 is 247522.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225749) by changing a digit.

225742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 517 + ... + 847.

It is an arithmetic number, because the mean of its divisors is an integer number (23904).

2²²⁵⁷⁴² is an apocalyptic number.

225742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

225742 is a deficient number, since it is larger than the sum of its proper divisors (156722).

225742 is a wasteful number, since it uses less digits than its factorization.

225742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375.

The product of its digits is 1120, while the sum is 22.

The square root of 225742 is about 475.1231419327. The cubic root of 225742 is about 60.8888057631. Note that the first 4 decimals are identical.

The spelling of 225742 in words is "two hundred twenty-five thousand, seven hundred forty-two".