13831506 has 128 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 3732480.

The previous prime is 13831501. The next prime is 13831513. The reversal of 13831506 is 60513831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 13831506.

It is not an unprimeable number, because it can be changed into a prime (13831501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226716 + ... + 226776.

It is an arithmetic number, because the mean of its divisors is an integer number (292950).

Almost surely, 2^13831506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13831506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

13831506 is an abundant number, since it is smaller than the sum of its proper divisors (23666094).

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

13831506 is a wasteful number, since it uses less digits than its factorization.

13831506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13831506 is about 3719.0732716633. The cubic root of 13831506 is about 240.0434296406.

The spelling of 13831506 in words is "thirteen million, eight hundred thirty-one thousand, five hundred six".