13717120 has 32 divisors (see below), whose sum is σ = 32794020. Its totient is φ = 5486592.

The previous prime is 13717103. The next prime is 13717127. The reversal of 13717120 is 2171731.

It can be written as a sum of positive squares in 2 ways, for example, as 12334144 + 1382976 = 3512^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 13717091 and 13717100.

It is not an unprimeable number, because it can be changed into a prime (13717127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10077 + ... + 11356.

Almost surely, 2^13717120 is an apocalyptic number.

13717120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13717120 is an abundant number, since it is smaller than the sum of its proper divisors (19076900).

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

13717120 is an equidigital number, since it uses as much as digits as its factorization.

13717120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21452 (or 21440 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 13717120 is about 3703.6630516288. The cubic root of 13717120 is about 239.3798805778.

Adding to 13717120 its reverse (2171731), we get a palindrome (15888851).

The spelling of 13717120 in words is "thirteen million, seven hundred seventeen thousand, one hundred twenty".