33000973 has 2 divisors, whose sum is σ = 33000974. Its totient is φ = 33000972.

The previous prime is 33000959. The next prime is 33001009. The reversal of 33000973 is 37900033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19554084 + 13446889 = 4422^2 + 3667^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33000973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33000923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16500486 + 16500487.

It is an arithmetic number, because the mean of its divisors is an integer number (16500487).

Almost surely, 2^33000973 is an apocalyptic number.

It is an amenable number.

33000973 is a deficient number, since it is larger than the sum of its proper divisors (1).

33000973 is an equidigital number, since it uses as much as digits as its factorization.

33000973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 25.

The square root of 33000973 is about 5744.6473346934. The cubic root of 33000973 is about 320.7565854241.

The spelling of 33000973 in words is "thirty-three million, nine hundred seventy-three", and thus it is an aban number.