111827461 has 2 divisors, whose sum is σ = 111827462. Its totient is φ = 111827460.

The previous prime is 111827389. The next prime is 111827467. The reversal of 111827461 is 164728111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111197025 + 630436 = 10545^2 + 794^2 .

It is an emirp because it is prime and its reverse (164728111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111827461 - 2⁷ = 111827333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111827467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55913730 + 55913731.

It is an arithmetic number, because the mean of its divisors is an integer number (55913731).

Almost surely, 2^111827461 is an apocalyptic number.

It is an amenable number.

111827461 is a deficient number, since it is larger than the sum of its proper divisors (1).

111827461 is an equidigital number, since it uses as much as digits as its factorization.

111827461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2688, while the sum is 31.

The square root of 111827461 is about 10574.8504008331. The cubic root of 111827461 is about 481.7807997050.

The spelling of 111827461 in words is "one hundred eleven million, eight hundred twenty-seven thousand, four hundred sixty-one".