111409 has 2 divisors, whose sum is σ = 111410. Its totient is φ = 111408.

The previous prime is 111373. The next prime is 111427. The reversal of 111409 is 904111.

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., 91809 + 19600 = 303^2 + 140^2 .

It is a cyclic number.

It is not a de Polignac number, because 111409 - 2¹³ = 103217 is a prime.

111409 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 111392 and 111401.

It is not a weakly prime, because it can be changed into another prime (111439) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55704 + 55705.

It is an arithmetic number, because the mean of its divisors is an integer number (55705).

2¹¹¹⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

111409 is a deficient number, since it is larger than the sum of its proper divisors (1).

111409 is an equidigital number, since it uses as much as digits as its factorization.

111409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 111409 is about 333.7798675774. The cubic root of 111409 is about 48.1179103516.

The spelling of 111409 in words is "one hundred eleven thousand, four hundred nine".