33853973 has 2 divisors, whose sum is σ = 33853974. Its totient is φ = 33853972.

The previous prime is 33853931. The next prime is 33853979. The reversal of 33853973 is 37935833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33616804 + 237169 = 5798^2 + 487^2 .

It is a cyclic number.

It is not a de Polignac number, because 33853973 - 2⁸ = 33853717 is a prime.

It is a super-2 number, since 2×33853973² = 2292182975769458, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33853973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33853979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16926986 + 16926987.

It is an arithmetic number, because the mean of its divisors is an integer number (16926987).

Almost surely, 2^33853973 is an apocalyptic number.

It is an amenable number.

33853973 is a deficient number, since it is larger than the sum of its proper divisors (1).

33853973 is an equidigital number, since it uses as much as digits as its factorization.

33853973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 204120, while the sum is 41.

The square root of 33853973 is about 5818.4167090369. The cubic root of 33853973 is about 323.4967196582.

The spelling of 33853973 in words is "thirty-three million, eight hundred fifty-three thousand, nine hundred seventy-three".