13437 has 6 divisors (see below), whose sum is σ = 19422. Its totient is φ = 8952.

The previous prime is 13421. The next prime is 13441. The reversal of 13437 is 73431.

It can be written as a sum of positive squares in only one way, i.e., 12996 + 441 = 114^2 + 21^2 .

It is not a de Polignac number, because 13437 - 2⁴ = 13421 is a prime.

It is a super-3 number, since 3×13437³ = 7278270733359, which contains 333 as substring.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13437.

It is not an unprimeable number, because it can be changed into a prime (13417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 738 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (3237).

2¹³⁴³⁷ is an apocalyptic number.

It is an amenable number.

13437 is a deficient number, since it is larger than the sum of its proper divisors (5985).

13437 is a wasteful number, since it uses less digits than its factorization.

13437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1496 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 13437 is about 115.9180745182. The cubic root of 13437 is about 23.7739186550.

Adding to 13437 its product of digits (252), we get a square (13689 = 117²).

Adding to 13437 its reverse (73431), we get a palindrome (86868).

It can be divided in two parts, 134 and 37, that added together give a palindrome (171).

The spelling of 13437 in words is "thirteen thousand, four hundred thirty-seven".