33973201 has 2 divisors, whose sum is σ = 33973202. Its totient is φ = 33973200.

The previous prime is 33973193. The next prime is 33973223. The reversal of 33973201 is 10237933.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31348801 + 2624400 = 5599^2 + 1620^2 .

It is an emirp because it is prime and its reverse (10237933) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33973201 - 2³ = 33973193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33973201.

It is not a weakly prime, because it can be changed into another prime (33973271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16986600 + 16986601.

It is an arithmetic number, because the mean of its divisors is an integer number (16986601).

Almost surely, 2^33973201 is an apocalyptic number.

It is an amenable number.

33973201 is a deficient number, since it is larger than the sum of its proper divisors (1).

33973201 is an equidigital number, since it uses as much as digits as its factorization.

33973201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 28.

The square root of 33973201 is about 5828.6534465518. The cubic root of 33973201 is about 323.8760417190.

The spelling of 33973201 in words is "thirty-three million, nine hundred seventy-three thousand, two hundred one".