1114113 has 48 divisors (see below), whose sum is σ = 2068416. Its totient is φ = 524160.

The previous prime is 1114111. The next prime is 1114117. The reversal of 1114113 is 3114111.

It is not a de Polignac number, because 1114113 - 2¹ = 1114111 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 20995 + ... + 21047.

It is an arithmetic number, because the mean of its divisors is an integer number (43092).

It is a Proth number, since it is equal to 17 ⋅ 2¹⁶ + 1 and 17 < 2¹⁶.

2^1114113 is an apocalyptic number.

1114113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1114113 is a deficient number, since it is larger than the sum of its proper divisors (954303).

1114113 is a wasteful number, since it uses less digits than its factorization.

1114113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 87 counting only the distinct ones).

The product of its digits is 12, while the sum is 12.

The square root of 1114113 is about 1055.5155138604. The cubic root of 1114113 is about 103.6676086574.

Adding to 1114113 its reverse (3114111), we get a palindrome (4228224).

It can be divided in two parts, 111 and 4113, that added together give a palindrome (4224).

The spelling of 1114113 in words is "one million, one hundred fourteen thousand, one hundred thirteen".