68537 has 4 divisors (see below), whose sum is σ = 78336. Its totient is φ = 58740.

The previous prime is 68531. The next prime is 68539. The reversal of 68537 is 73586.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 73586 = 2 ⋅36793.

It is a cyclic number.

It is not a de Polignac number, because 68537 - 2⁴ = 68521 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 68537.

It is not an unprimeable number, because it can be changed into a prime (68531) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4889 + ... + 4902.

It is an arithmetic number, because the mean of its divisors is an integer number (19584).

2⁶⁸⁵³⁷ is an apocalyptic number.

It is an amenable number.

68537 is a deficient number, since it is larger than the sum of its proper divisors (9799).

68537 is an equidigital number, since it uses as much as digits as its factorization.

68537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9798.

The product of its digits is 5040, while the sum is 29.

The square root of 68537 is about 261.7957218902. The cubic root of 68537 is about 40.9237129923.

The spelling of 68537 in words is "sixty-eight thousand, five hundred thirty-seven".