13117752 has 96 divisors (see below), whose sum is σ = 38438400. Its totient is φ = 4027968.

The previous prime is 13117739. The next prime is 13117757. The reversal of 13117752 is 25771131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13117757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58713 + ... + 58935.

It is an arithmetic number, because the mean of its divisors is an integer number (400400).

Almost surely, 2^13117752 is an apocalyptic number.

13117752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13117752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19219200).

13117752 is an abundant number, since it is smaller than the sum of its proper divisors (25320648).

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

13117752 is a wasteful number, since it uses less digits than its factorization.

13117752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 290 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 13117752 is about 3621.8437293732. The cubic root of 13117752 is about 235.8412702639.

Adding to 13117752 its reverse (25771131), we get a palindrome (38888883).

The spelling of 13117752 in words is "thirteen million, one hundred seventeen thousand, seven hundred fifty-two".