225693 has 16 divisors (see below), whose sum is σ = 360640. Its totient is φ = 138672.

The previous prime is 225689. The next prime is 225697. The reversal of 225693 is 396522.

It is an interprime number because it is at equal distance from previous prime (225689) and next prime (225697).

It is not a de Polignac number, because 225693 - 2² = 225689 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225697) 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 15 ways as a sum of consecutive naturals, for example, 30 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (22540).

2²²⁵⁶⁹³ is an apocalyptic number.

It is an amenable number.

225693 is a deficient number, since it is larger than the sum of its proper divisors (134947).

225693 is a wasteful number, since it uses less digits than its factorization.

225693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 659 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 225693 is about 475.0715735550. The cubic root of 225693 is about 60.8843998966.

The spelling of 225693 in words is "two hundred twenty-five thousand, six hundred ninety-three".