13832742 has 64 divisors (see below), whose sum is σ = 35020800. Its totient is φ = 3538080.

The previous prime is 13832737. The next prime is 13832743. The reversal of 13832742 is 24723831.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13832743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36309 + ... + 36687.

It is an arithmetic number, because the mean of its divisors is an integer number (547200).

Almost surely, 2^13832742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13832742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510400).

13832742 is an abundant number, since it is smaller than the sum of its proper divisors (21188058).

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

13832742 is a wasteful number, since it uses less digits than its factorization.

13832742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481.

The product of its digits is 8064, while the sum is 30.

The square root of 13832742 is about 3719.2394383798. The cubic root of 13832742 is about 240.0505796175.

The spelling of 13832742 in words is "thirteen million, eight hundred thirty-two thousand, seven hundred forty-two".