1115961 has 16 divisors (see below), whose sum is σ = 1855488. Its totient is φ = 579600.

The previous prime is 1115941. The next prime is 1115987. The reversal of 1115961 is 1695111.

It is not a de Polignac number, because 1115961 - 2⁵ = 1115929 is a prime.

1115961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1115911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2185 + ... + 2646.

It is an arithmetic number, because the mean of its divisors is an integer number (115968).

2^1115961 is an apocalyptic number.

1115961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1115961 is a deficient number, since it is larger than the sum of its proper divisors (739527).

1115961 is a wasteful number, since it uses less digits than its factorization.

1115961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852.

The product of its digits is 270, while the sum is 24.

The square root of 1115961 is about 1056.3905527787. The cubic root of 1115961 is about 103.7248954598.

It can be divided in two parts, 11 and 15961, that multiplied together give a palindrome (175571).

The spelling of 1115961 in words is "one million, one hundred fifteen thousand, nine hundred sixty-one".