13537 has 2 divisors, whose sum is σ = 13538. Its totient is φ = 13536.

The previous prime is 13523. The next prime is 13553. The reversal of 13537 is 73531.

13537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 48-th star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13456 + 81 = 116^2 + 9^2 .

It is a cyclic number.

It is not a de Polignac number, because 13537 - 2¹¹ = 11489 is a prime.

It is a Chen prime.

13537 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (13567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6768 + 6769.

It is an arithmetic number, because the mean of its divisors is an integer number (6769).

2¹³⁵³⁷ is an apocalyptic number.

It is an amenable number.

13537 is a deficient number, since it is larger than the sum of its proper divisors (1).

13537 is an equidigital number, since it uses as much as digits as its factorization.

13537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 315, while the sum is 19.

The square root of 13537 is about 116.3486140871. The cubic root of 13537 is about 23.8327492100.

The spelling of 13537 in words is "thirteen thousand, five hundred thirty-seven".