221657113 has 2 divisors, whose sum is σ = 221657114. Its totient is φ = 221657112.

The previous prime is 221657087. The next prime is 221657119. The reversal of 221657113 is 311756122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126945289 + 94711824 = 11267^2 + 9732^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221657113 is a prime.

It is a super-3 number, since 3×221657113³ (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (221657119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110828556 + 110828557.

It is an arithmetic number, because the mean of its divisors is an integer number (110828557).

Almost surely, 2^221657113 is an apocalyptic number.

It is an amenable number.

221657113 is a deficient number, since it is larger than the sum of its proper divisors (1).

221657113 is an equidigital number, since it uses as much as digits as its factorization.

221657113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2520, while the sum is 28.

The square root of 221657113 is about 14888.1534449374. The cubic root of 221657113 is about 605.1929926381.

Subtracting 221657113 from its reverse (311756122), we obtain a palindrome (90099009).

The spelling of 221657113 in words is "two hundred twenty-one million, six hundred fifty-seven thousand, one hundred thirteen".