111915241 has 9 divisors (see below), whose sum is σ = 114280663. Its totient is φ = 109598440.

The previous prime is 111915229. The next prime is 111915247. The reversal of 111915241 is 142519111.

The square root of 111915241 is 10579.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13111641 + 98803600 = 3621^2 + 9940^2 .

It is not a de Polignac number, because 111915241 - 2¹³ = 111907049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111915247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 751035 + ... + 751183.

Almost surely, 2^111915241 is an apocalyptic number.

111915241 is the 10579-th square number.

111915241 is the 5290-th centered octagonal number.

It is an amenable number.

111915241 is a deficient number, since it is larger than the sum of its proper divisors (2365422).

111915241 is an frugal number, since it uses more digits than its factorization.

111915241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 220 counting only the distinct ones).

The product of its digits is 360, while the sum is 25.

The cubic root of 111915241 is about 481.9068261674.

Multiplying 111915241 by its sum of digits (25), we get a square (2797881025 = 52895²).

The spelling of 111915241 in words is "one hundred eleven million, nine hundred fifteen thousand, two hundred forty-one".