35993 has 2 divisors, whose sum is σ = 35994. Its totient is φ = 35992.

The previous prime is 35983. The next prime is 35999. The reversal of 35993 is 39953.

35993 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34969 + 1024 = 187^2 + 32^2 .

It is an emirp because it is prime and its reverse (39953) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35993 - 2⁴ = 35977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a nialpdrome in base 9.

It is not a weakly prime, because it can be changed into another prime (35999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17996 + 17997.

It is an arithmetic number, because the mean of its divisors is an integer number (17997).

2³⁵⁹⁹³ is an apocalyptic number.

It is an amenable number.

35993 is a deficient number, since it is larger than the sum of its proper divisors (1).

35993 is an equidigital number, since it uses as much as digits as its factorization.

35993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3645, while the sum is 29.

The square root of 35993 is about 189.7182120936. The cubic root of 35993 is about 33.0171322122.

The spelling of 35993 in words is "thirty-five thousand, nine hundred ninety-three".