224964 has 24 divisors (see below), whose sum is σ = 583520. Its totient is φ = 74952.

The previous prime is 224951. The next prime is 224969. The reversal of 224964 is 469422.

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

It is a nude number because it is divisible by every one of its digits.

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

224964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 934 + ... + 1149.

2²²⁴⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

224964 is an abundant number, since it is smaller than the sum of its proper divisors (358556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224964 is a wasteful number, since it uses less digits than its factorization.

224964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2088 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 224964 is about 474.3037001753. The cubic root of 224964 is about 60.8187759416.

It can be divided in two parts, 22496 and 4, that added together give a square (22500 = 150²).

The spelling of 224964 in words is "two hundred twenty-four thousand, nine hundred sixty-four".