68337 has 8 divisors (see below), whose sum is σ = 101280. Its totient is φ = 45540.

The previous prime is 68329. The next prime is 68351. The reversal of 68337 is 73386.

It is a happy number.

It is not a de Polignac number, because 68337 - 2³ = 68329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2531 = 68337 / (6 + 8 + 3 + 3 + 7).

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 68337.

It is not an unprimeable number, because it can be changed into a prime (68437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1239 + ... + 1292.

It is an arithmetic number, because the mean of its divisors is an integer number (12660).

2⁶⁸³³⁷ is an apocalyptic number.

It is an amenable number.

68337 is a deficient number, since it is larger than the sum of its proper divisors (32943).

68337 is a wasteful number, since it uses less digits than its factorization.

68337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2534 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 68337 is about 261.4134656057. The cubic root of 68337 is about 40.8838672792.

The spelling of 68337 in words is "sixty-eight thousand, three hundred thirty-seven".