111004961 has 2 divisors, whose sum is σ = 111004962. Its totient is φ = 111004960.

The previous prime is 111004939. The next prime is 111004979. The reversal of 111004961 is 169400111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109327936 + 1677025 = 10456^2 + 1295^2 .

It is a cyclic number.

It is not a de Polignac number, because 111004961 - 2¹⁸ = 110742817 is a prime.

It is a super-2 number, since 2×111004961² = 24644202733223042, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (111004981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55502480 + 55502481.

It is an arithmetic number, because the mean of its divisors is an integer number (55502481).

Almost surely, 2^111004961 is an apocalyptic number.

It is an amenable number.

111004961 is a deficient number, since it is larger than the sum of its proper divisors (1).

111004961 is an equidigital number, since it uses as much as digits as its factorization.

111004961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

The square root of 111004961 is about 10535.8891888630. The cubic root of 111004961 is about 480.5967130380.

It can be divided in two parts, 11100 and 4961, that added together give a palindrome (16061).

The spelling of 111004961 in words is "one hundred eleven million, four thousand, nine hundred sixty-one".