13931008 has 120 divisors (see below), whose sum is σ = 35944128. Its totient is φ = 5271552.

The previous prime is 13931003. The next prime is 13931017. The reversal of 13931008 is 80013931.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (13931003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 605685 + ... + 605707.

Almost surely, 2^13931008 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 13931008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17972064).

13931008 is an abundant number, since it is smaller than the sum of its proper divisors (22013120).

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

13931008 is an equidigital number, since it uses as much as digits as its factorization.

13931008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 13931008 is about 3732.4265565447. The cubic root of 13931008 is about 240.6176682536.

Adding to 13931008 its reverse (80013931), we get a palindrome (93944939).

It can be divided in two parts, 1393 and 1008, that added together give a 4-th power (2401 = 7⁴).

The spelling of 13931008 in words is "thirteen million, nine hundred thirty-one thousand, eight".