225967 has 8 divisors (see below), whose sum is σ = 272000. Its totient is φ = 183384.

The previous prime is 225961. The next prime is 225977. The reversal of 225967 is 769522.

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

It is a cyclic number.

It is not a de Polignac number, because 225967 - 2⁷ = 225839 is a prime.

It is a super-2 number, since 2×225967² = 102122170178, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2⁵ + 2¹⁷ + 9⁴ + 5⁷ + 6⁵ + 7⁴ .

It is a Duffinian number.

225967 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225961) 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, 717 + ... + 982.

It is an arithmetic number, because the mean of its divisors is an integer number (34000).

2²²⁵⁹⁶⁷ is an apocalyptic number.

225967 is a deficient number, since it is larger than the sum of its proper divisors (46033).

225967 is a wasteful number, since it uses less digits than its factorization.

225967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725.

The product of its digits is 7560, while the sum is 31.

The square root of 225967 is about 475.3598636822. The cubic root of 225967 is about 60.9090286018.

The spelling of 225967 in words is "two hundred twenty-five thousand, nine hundred sixty-seven".