33985673 has 2 divisors, whose sum is σ = 33985674. Its totient is φ = 33985672.

The previous prime is 33985619. The next prime is 33985691. The reversal of 33985673 is 37658933.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28430224 + 5555449 = 5332^2 + 2357^2 .

It is a cyclic number.

It is not a de Polignac number, because 33985673 - 2⁸ = 33985417 is a prime.

It is not a weakly prime, because it can be changed into another prime (33985603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16992836 + 16992837.

It is an arithmetic number, because the mean of its divisors is an integer number (16992837).

Almost surely, 2^33985673 is an apocalyptic number.

It is an amenable number.

33985673 is a deficient number, since it is larger than the sum of its proper divisors (1).

33985673 is an equidigital number, since it uses as much as digits as its factorization.

33985673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 408240, while the sum is 44.

The square root of 33985673 is about 5829.7232352831. The cubic root of 33985673 is about 323.9156698933.

The spelling of 33985673 in words is "thirty-three million, nine hundred eighty-five thousand, six hundred seventy-three".