1114116 has 24 divisors (see below), whose sum is σ = 2617440. Its totient is φ = 368832.

The previous prime is 1114111. The next prime is 1114117. The reversal of 1114116 is 6114111.

It is a super-2 number, since 2×1114116² = 2482508922912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1114095 and 1114104.

It is not an unprimeable number, because it can be changed into a prime (1114111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2520 + ... + 2928.

It is an arithmetic number, because the mean of its divisors is an integer number (109060).

2^1114116 is an apocalyptic number.

It is an amenable number.

1114116 is an abundant number, since it is smaller than the sum of its proper divisors (1503324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1114116 is a wasteful number, since it uses less digits than its factorization.

1114116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 641 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 1114116 is about 1055.5169349660. The cubic root of 1114116 is about 103.6677017067.

Adding to 1114116 its reverse (6114111), we get a palindrome (7228227).

The spelling of 1114116 in words is "one million, one hundred fourteen thousand, one hundred sixteen".