13734315 has 48 divisors (see below), whose sum is σ = 27705600. Its totient is φ = 6163776.

The previous prime is 13734307. The next prime is 13734319. The reversal of 13734315 is 51343731.

13734315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13734315 - 2³ = 13734307 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13734319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18216 + ... + 18954.

It is an arithmetic number, because the mean of its divisors is an integer number (577200).

Almost surely, 2^13734315 is an apocalyptic number.

13734315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13734315 is an abundant number, since it is smaller than the sum of its proper divisors (13971285).

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

13734315 is a wasteful number, since it uses less digits than its factorization.

13734315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 813 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 13734315 is about 3705.9836750855. The cubic root of 13734315 is about 239.4798631379.

The spelling of 13734315 in words is "thirteen million, seven hundred thirty-four thousand, three hundred fifteen".