1115361 has 12 divisors (see below), whose sum is σ = 1735188. Its totient is φ = 686304.

The previous prime is 1115351. The next prime is 1115363. The reversal of 1115361 is 1635111.

It can be written as a sum of positive squares in 2 ways, for example, as 176400 + 938961 = 420^2 + 969^2 .

It is not a de Polignac number, because 1115361 - 2⁵ = 1115329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1115363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4650 + ... + 4883.

It is an arithmetic number, because the mean of its divisors is an integer number (144599).

2^1115361 is an apocalyptic number.

It is an amenable number.

1115361 is a deficient number, since it is larger than the sum of its proper divisors (619827).

1115361 is a wasteful number, since it uses less digits than its factorization.

1115361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9552 (or 9549 counting only the distinct ones).

The product of its digits is 90, while the sum is 18.

The square root of 1115361 is about 1056.1065287176. The cubic root of 1115361 is about 103.7063027866.

Subtracting from 1115361 its product of digits (90), we obtain a triangular number (1115271 = T₁₄₉₃).

The spelling of 1115361 in words is "one million, one hundred fifteen thousand, three hundred sixty-one".