220961 has 8 divisors (see below), whose sum is σ = 248640. Its totient is φ = 194832.

The previous prime is 220939. The next prime is 220973. The reversal of 220961 is 169022.

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 220961 - 2⁶ = 220897 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220961.

It is not an unprimeable number, because it can be changed into a prime (220901) 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, 71 + ... + 668.

It is an arithmetic number, because the mean of its divisors is an integer number (31080).

2²²⁰⁹⁶¹ is an apocalyptic number.

It is an amenable number.

220961 is a deficient number, since it is larger than the sum of its proper divisors (27679).

220961 is a wasteful number, since it uses less digits than its factorization.

220961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 220961 is about 470.0648891377. The cubic root of 220961 is about 60.4558793135.

Adding to 220961 its reverse (169022), we get a palindrome (389983).

The spelling of 220961 in words is "two hundred twenty thousand, nine hundred sixty-one".