13633116 has 48 divisors (see below), whose sum is σ = 38497536. Its totient is φ = 3665664.

The previous prime is 13633097. The next prime is 13633121. The reversal of 13633116 is 61133631.

It is a super-3 number, since 3×13633116³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3346 + ... + 6201.

It is an arithmetic number, because the mean of its divisors is an integer number (802032).

Almost surely, 2^13633116 is an apocalyptic number.

It is an amenable number.

13633116 is an abundant number, since it is smaller than the sum of its proper divisors (24864420).

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

13633116 is a wasteful number, since it uses less digits than its factorization.

13633116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9578 (or 9576 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 13633116 is about 3692.3049711528. The cubic root of 13633116 is about 238.8902234487.

Adding to 13633116 its reverse (61133631), we get a palindrome (74766747).

The spelling of 13633116 in words is "thirteen million, six hundred thirty-three thousand, one hundred sixteen".