224766 has 12 divisors (see below), whose sum is σ = 487032. Its totient is φ = 74916.

The previous prime is 224759. The next prime is 224771. The reversal of 224766 is 667422.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

224766 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 5 ways as a sum of consecutive naturals, for example, 6226 + ... + 6261.

It is an arithmetic number, because the mean of its divisors is an integer number (40586).

2²²⁴⁷⁶⁶ is an apocalyptic number.

224766 is an abundant number, since it is smaller than the sum of its proper divisors (262266).

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

224766 is a wasteful number, since it uses less digits than its factorization.

224766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12495 (or 12492 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 224766 is about 474.0949272034. The cubic root of 224766 is about 60.8009276751.

It can be divided in two parts, 224 and 766, that added together give a triangular number (990 = T₄₄).

The spelling of 224766 in words is "two hundred twenty-four thousand, seven hundred sixty-six".