66337 has 2 divisors, whose sum is σ = 66338. Its totient is φ = 66336.

The previous prime is 66301. The next prime is 66343. The reversal of 66337 is 73366.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57121 + 9216 = 239^2 + 96^2 .

66337 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 66337 - 2¹⁵ = 33569 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66337.

It is not a weakly prime, because it can be changed into another prime (66347) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33168 + 33169.

It is an arithmetic number, because the mean of its divisors is an integer number (33169).

2⁶⁶³³⁷ is an apocalyptic number.

It is an amenable number.

66337 is a deficient number, since it is larger than the sum of its proper divisors (1).

66337 is an equidigital number, since it uses as much as digits as its factorization.

66337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 25.

The square root of 66337 is about 257.5597018169. The cubic root of 66337 is about 40.4810661892.

It can be divided in two parts, 663 and 37, that multiplied together give a triangular number (24531 = T₂₂₁).

The spelling of 66337 in words is "sixty-six thousand, three hundred thirty-seven".