11117316 has 96 divisors (see below), whose sum is σ = 31494400. Its totient is φ = 3048192.

The previous prime is 11117213. The next prime is 11117321. The reversal of 11117316 is 61371111.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 = 11117292 and 11117301.

It is a congruent number.

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, 152256 + ... + 152328.

Almost surely, 2^11117316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11117316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15747200).

11117316 is an abundant number, since it is smaller than the sum of its proper divisors (20377084).

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

11117316 is a wasteful number, since it uses less digits than its factorization.

11117316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 122 counting only the distinct ones).

The product of its digits is 126, while the sum is 21.

The square root of 11117316 is about 3334.2639367633. The cubic root of 11117316 is about 223.1858465351.

Multiplying 11117316 by its sum of digits (21), we get a triangular number (233463636 = T₂₁₆₀₈).

Adding to 11117316 its reverse (61371111), we get a palindrome (72488427).

The spelling of 11117316 in words is "eleven million, one hundred seventeen thousand, three hundred sixteen".