32993 has 2 divisors, whose sum is σ = 32994. Its totient is φ = 32992.

The previous prime is 32987. The next prime is 32999. The reversal of 32993 is 39923.

It is a balanced prime because it is at equal distance from previous prime (32987) and next prime (32999).

It can be written as a sum of positive squares in only one way, i.e., 20449 + 12544 = 143^2 + 112^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-32993 is a prime.

It is a Chen prime.

It is a Leyland number of the form 15² + 2¹⁵.

It is not a weakly prime, because it can be changed into another prime (32999) 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, 16496 + 16497.

It is an arithmetic number, because the mean of its divisors is an integer number (16497).

2³²⁹⁹³ is an apocalyptic number.

It is an amenable number.

32993 is a deficient number, since it is larger than the sum of its proper divisors (1).

32993 is an equidigital number, since it uses as much as digits as its factorization.

32993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1458, while the sum is 26.

The square root of 32993 is about 181.6397533581. The cubic root of 32993 is about 32.0730751860.

The spelling of 32993 in words is "thirty-two thousand, nine hundred ninety-three".