1311114 has 64 divisors (see below), whose sum is σ = 3317760. Its totient is φ = 336960.

The previous prime is 1311109. The next prime is 1311127. The reversal of 1311114 is 4111131.

1311114 = 92² + 93² + ... + 167².

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1311114.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24712 + ... + 24764.

It is an arithmetic number, because the mean of its divisors is an integer number (51840).

2^1311114 is an apocalyptic number.

1311114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658880).

1311114 is an abundant number, since it is smaller than the sum of its proper divisors (2006646).

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

1311114 is a wasteful number, since it uses less digits than its factorization.

1311114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115.

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

The square root of 1311114 is about 1145.0388639693. The cubic root of 1311114 is about 109.4494251548.

Adding to 1311114 its reverse (4111131), we get a palindrome (5422245).

The spelling of 1311114 in words is "one million, three hundred eleven thousand, one hundred fourteen".