33853021 has 2 divisors, whose sum is σ = 33853022. Its totient is φ = 33853020.

The previous prime is 33852991. The next prime is 33853037. The reversal of 33853021 is 12035833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33235225 + 617796 = 5765^2 + 786^2 .

It is a cyclic number.

It is not a de Polignac number, because 33853021 - 2²⁵ = 298589 is a prime.

It is a super-2 number, since 2×33853021² = 2292054061652882, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33853091) 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, 16926510 + 16926511.

It is an arithmetic number, because the mean of its divisors is an integer number (16926511).

Almost surely, 2^33853021 is an apocalyptic number.

It is an amenable number.

33853021 is a deficient number, since it is larger than the sum of its proper divisors (1).

33853021 is an equidigital number, since it uses as much as digits as its factorization.

33853021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 33853021 is about 5818.3348992646. The cubic root of 33853021 is about 323.4936873035.

Adding to 33853021 its reverse (12035833), we get a palindrome (45888854).

The spelling of 33853021 in words is "thirty-three million, eight hundred fifty-three thousand, twenty-one".