68737 has 2 divisors, whose sum is σ = 68738. Its totient is φ = 68736.

The previous prime is 68729. The next prime is 68743. The reversal of 68737 is 73786.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53361 + 15376 = 231^2 + 124^2 .

It is a cyclic number.

It is not a de Polignac number, because 68737 - 2³ = 68729 is a prime.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 68699 and 68708.

It is not a weakly prime, because it can be changed into another prime (68767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 34368 + 34369.

It is an arithmetic number, because the mean of its divisors is an integer number (34369).

2⁶⁸⁷³⁷ is an apocalyptic number.

It is an amenable number.

68737 is a deficient number, since it is larger than the sum of its proper divisors (1).

68737 is an equidigital number, since it uses as much as digits as its factorization.

68737 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7056, while the sum is 31.

The square root of 68737 is about 262.1774208432. The cubic root of 68737 is about 40.9634812639.

The spelling of 68737 in words is "sixty-eight thousand, seven hundred thirty-seven".