111727921 has 2 divisors, whose sum is σ = 111727922. Its totient is φ = 111727920.

The previous prime is 111727909. The next prime is 111727991. The reversal of 111727921 is 129727111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75064896 + 36663025 = 8664^2 + 6055^2 .

It is an emirp because it is prime and its reverse (129727111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111727921 - 2²¹ = 109630769 is a prime.

It is not a weakly prime, because it can be changed into another prime (111727991) 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, 55863960 + 55863961.

It is an arithmetic number, because the mean of its divisors is an integer number (55863961).

Almost surely, 2^111727921 is an apocalyptic number.

It is an amenable number.

111727921 is a deficient number, since it is larger than the sum of its proper divisors (1).

111727921 is an equidigital number, since it uses as much as digits as its factorization.

111727921 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1764, while the sum is 31.

The square root of 111727921 is about 10570.1429034805. The cubic root of 111727921 is about 481.6378094936.

The spelling of 111727921 in words is "one hundred eleven million, seven hundred twenty-seven thousand, nine hundred twenty-one".