33973033 has 2 divisors, whose sum is σ = 33973034. Its totient is φ = 33973032.

The previous prime is 33972997. The next prime is 33973091. The reversal of 33973033 is 33037933.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28270489 + 5702544 = 5317^2 + 2388^2 .

It is a cyclic number.

It is not a de Polignac number, because 33973033 - 2¹⁷ = 33841961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33972986 and 33973004.

It is not a weakly prime, because it can be changed into another prime (33923033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16986516 + 16986517.

It is an arithmetic number, because the mean of its divisors is an integer number (16986517).

Almost surely, 2^33973033 is an apocalyptic number.

It is an amenable number.

33973033 is a deficient number, since it is larger than the sum of its proper divisors (1).

33973033 is an equidigital number, since it uses as much as digits as its factorization.

33973033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15309, while the sum is 31.

The square root of 33973033 is about 5828.6390349721. The cubic root of 33973033 is about 323.8755078545.

The spelling of 33973033 in words is "thirty-three million, nine hundred seventy-three thousand, thirty-three".