65993 has 2 divisors, whose sum is σ = 65994. Its totient is φ = 65992.

The previous prime is 65983. The next prime is 66029. The reversal of 65993 is 39956.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 4489 = 248^2 + 67^2 .

It is a cyclic number.

It is not a de Polignac number, because 65993 - 2⁶ = 65929 is a prime.

It is not a weakly prime, because it can be changed into another prime (65963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32996 + 32997.

It is an arithmetic number, because the mean of its divisors is an integer number (32997).

2⁶⁵⁹⁹³ is an apocalyptic number.

It is an amenable number.

65993 is a deficient number, since it is larger than the sum of its proper divisors (1).

65993 is an equidigital number, since it uses as much as digits as its factorization.

65993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7290, while the sum is 32.

The square root of 65993 is about 256.8910274805. The cubic root of 65993 is about 40.4109714345.

The spelling of 65993 in words is "sixty-five thousand, nine hundred ninety-three".