111961441 has 2 divisors, whose sum is σ = 111961442. Its totient is φ = 111961440.

The previous prime is 111961427. The next prime is 111961459. The reversal of 111961441 is 144169111.

111961441 = T₈₆₃₈ + T₈₆₃₉ + T₈₆₄₀.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85951441 + 26010000 = 9271^2 + 5100^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111961441 is a prime.

It is not a weakly prime, because it can be changed into another prime (111961411) 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, 55980720 + 55980721.

It is an arithmetic number, because the mean of its divisors is an integer number (55980721).

Almost surely, 2^111961441 is an apocalyptic number.

111961441 is the 8640-th centered triangular number.

It is an amenable number.

111961441 is a deficient number, since it is larger than the sum of its proper divisors (1).

111961441 is an equidigital number, since it uses as much as digits as its factorization.

111961441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 28.

The square root of 111961441 is about 10581.1833459212. The cubic root of 111961441 is about 481.9731294169.

The spelling of 111961441 in words is "one hundred eleven million, nine hundred sixty-one thousand, four hundred forty-one".