32996993 has 2 divisors, whose sum is σ = 32996994. Its totient is φ = 32996992.

The previous prime is 32996963. The next prime is 32997011. The reversal of 32996993 is 39969923.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28430224 + 4566769 = 5332^2 + 2137^2 .

It is a cyclic number.

It is not a de Polignac number, because 32996993 - 2⁸ = 32996737 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (32996963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16498496 + 16498497.

It is an arithmetic number, because the mean of its divisors is an integer number (16498497).

Almost surely, 2^32996993 is an apocalyptic number.

It is an amenable number.

32996993 is a deficient number, since it is larger than the sum of its proper divisors (1).

32996993 is an equidigital number, since it uses as much as digits as its factorization.

32996993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 708588, while the sum is 50.

The square root of 32996993 is about 5744.3009148198. The cubic root of 32996993 is about 320.7436902231.

The spelling of 32996993 in words is "thirty-two million, nine hundred ninety-six thousand, nine hundred ninety-three".