13537314 has 64 divisors (see below), whose sum is σ = 35020800. Its totient is φ = 3795984.

The previous prime is 13537309. The next prime is 13537327. The reversal of 13537314 is 41373531.

It is a super-3 number, since 3×13537314³ (a number of 22 digits) contains 333 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21999 + ... + 22605.

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

Almost surely, 2^13537314 is an apocalyptic number.

13537314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13537314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510400).

13537314 is an abundant number, since it is smaller than the sum of its proper divisors (21483486).

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

13537314 is a wasteful number, since it uses less digits than its factorization.

13537314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 678 counting only the distinct ones).

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

The square root of 13537314 is about 3679.3089024979. The cubic root of 13537314 is about 238.3293348094.

The spelling of 13537314 in words is "thirteen million, five hundred thirty-seven thousand, three hundred fourteen".