225381 has 8 divisors (see below), whose sum is σ = 323680. Its totient is φ = 138672.

The previous prime is 225373. The next prime is 225383. The reversal of 225381 is 183522.

225381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 225381 - 2³ = 225373 is a prime.

It is a super-2 number, since 2×225381² = 101593190322, which contains 22 as substring.

It is a Duffinian number.

225381 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225381.

It is not an unprimeable number, because it can be changed into a prime (225383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2851 + ... + 2928.

It is an arithmetic number, because the mean of its divisors is an integer number (40460).

2²²⁵³⁸¹ is an apocalyptic number.

It is an amenable number.

225381 is a deficient number, since it is larger than the sum of its proper divisors (98299).

225381 is a wasteful number, since it uses less digits than its factorization.

225381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5795.

The product of its digits is 480, while the sum is 21.

The square root of 225381 is about 474.7430884173. The cubic root of 225381 is about 60.8563312475.

It can be divided in two parts, 225 and 381, that added together give a palindrome (606).

The spelling of 225381 in words is "two hundred twenty-five thousand, three hundred eighty-one".