224961 has 16 divisors (see below), whose sum is σ = 347328. Its totient is φ = 128000.

The previous prime is 224951. The next prime is 224969. The reversal of 224961 is 169422.

It is a 3-Lehmer number, since φ(224961) divides (224961-1)³.

It is a cyclic number.

It is not a de Polignac number, because 224961 - 2⁵ = 224929 is a prime.

Its product of digits (864) is a multiple of the sum of its prime divisors (432).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 224961.

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, 361 + ... + 761.

It is an arithmetic number, because the mean of its divisors is an integer number (21708).

2²²⁴⁹⁶¹ is an apocalyptic number.

It is an amenable number.

224961 is a deficient number, since it is larger than the sum of its proper divisors (122367).

224961 is a wasteful number, since it uses less digits than its factorization.

224961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432.

The product of its digits is 864, while the sum is 24.

The square root of 224961 is about 474.3005376341. The cubic root of 224961 is about 60.8185055915.

The spelling of 224961 in words is "two hundred twenty-four thousand, nine hundred sixty-one".