220971 has 8 divisors (see below), whose sum is σ = 298960. Its totient is φ = 145152.

The previous prime is 220939. The next prime is 220973. The reversal of 220971 is 179022.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 220971 - 2⁵ = 220939 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220973) 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, 286 + ... + 723.

It is an arithmetic number, because the mean of its divisors is an integer number (37370).

2²²⁰⁹⁷¹ is an apocalyptic number.

220971 is a deficient number, since it is larger than the sum of its proper divisors (77989).

220971 is a wasteful number, since it uses less digits than its factorization.

220971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 220971 is about 470.0755258466. The cubic root of 220971 is about 60.4567913141.

Adding to 220971 its reverse (179022), we get a palindrome (399993).

The spelling of 220971 in words is "two hundred twenty thousand, nine hundred seventy-one".