224967 has 16 divisors (see below), whose sum is σ = 322560. Its totient is φ = 139200.

The previous prime is 224951. The next prime is 224969. The reversal of 224967 is 769422.

It is a happy number.

It is not a de Polignac number, because 224967 - 2⁴ = 224951 is a prime.

It is a super-2 number, since 2×224967² = 101220302178, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3784 + ... + 3842.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2²²⁴⁹⁶⁷ is an apocalyptic number.

224967 is a deficient number, since it is larger than the sum of its proper divisors (97593).

224967 is a wasteful number, since it uses less digits than its factorization.

224967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134.

The product of its digits is 6048, while the sum is 30.

The square root of 224967 is about 474.3068626954. The cubic root of 224967 is about 60.8190462894.

The spelling of 224967 in words is "two hundred twenty-four thousand, nine hundred sixty-seven".