220993 has 4 divisors (see below), whose sum is σ = 222208. Its totient is φ = 219780.

The previous prime is 220973. The next prime is 221021. The reversal of 220993 is 399022.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 220993 - 2¹³ = 212801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 273 + ... + 718.

It is an arithmetic number, because the mean of its divisors is an integer number (55552).

2²²⁰⁹⁹³ is an apocalyptic number.

It is an amenable number.

220993 is a deficient number, since it is larger than the sum of its proper divisors (1215).

220993 is an equidigital number, since it uses as much as digits as its factorization.

220993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 220993 is about 470.0989257592. The cubic root of 220993 is about 60.4587976185.

The spelling of 220993 in words is "two hundred twenty thousand, nine hundred ninety-three".