13731008 has 28 divisors (see below), whose sum is σ = 27630120. Its totient is φ = 6769152.

The previous prime is 13731001. The next prime is 13731013. The reversal of 13731008 is 80013731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13731001) 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, 3203 + ... + 6141.

It is an arithmetic number, because the mean of its divisors is an integer number (986790).

Almost surely, 2^13731008 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 13731008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13815060).

13731008 is an abundant number, since it is smaller than the sum of its proper divisors (13899112).

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

13731008 is an equidigital number, since it uses as much as digits as its factorization.

13731008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 13731008 is about 3705.5374778836. The cubic root of 13731008 is about 239.4606406410.

Adding to 13731008 its reverse (80013731), we get a palindrome (93744739).

The spelling of 13731008 in words is "thirteen million, seven hundred thirty-one thousand, eight".