220961567 has 2 divisors, whose sum is σ = 220961568. Its totient is φ = 220961566.

The previous prime is 220961561. The next prime is 220961569. The reversal of 220961567 is 765169022.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 220961567 - 2⁸ = 220961311 is a prime.

Together with 220961569, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220961567.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220961561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110480783 + 110480784.

It is an arithmetic number, because the mean of its divisors is an integer number (110480784).

Almost surely, 2^220961567 is an apocalyptic number.

220961567 is a deficient number, since it is larger than the sum of its proper divisors (1).

220961567 is an equidigital number, since it uses as much as digits as its factorization.

220961567 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 220961567 is about 14864.7760494398. The cubic root of 220961567 is about 604.5593102466.

The spelling of 220961567 in words is "two hundred twenty million, nine hundred sixty-one thousand, five hundred sixty-seven".