33812641 has 2 divisors, whose sum is σ = 33812642. Its totient is φ = 33812640.

The previous prime is 33812629. The next prime is 33812671. The reversal of 33812641 is 14621833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22896225 + 10916416 = 4785^2 + 3304^2 .

It is an emirp because it is prime and its reverse (14621833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33812641 - 2¹⁷ = 33681569 is a prime.

It is a super-2 number, since 2×33812641² = 2286589382789762, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33812671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16906320 + 16906321.

It is an arithmetic number, because the mean of its divisors is an integer number (16906321).

Almost surely, 2^33812641 is an apocalyptic number.

It is an amenable number.

33812641 is a deficient number, since it is larger than the sum of its proper divisors (1).

33812641 is an equidigital number, since it uses as much as digits as its factorization.

33812641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3456, while the sum is 28.

The square root of 33812641 is about 5814.8637989208. The cubic root of 33812641 is about 323.3650146682.

It can be divided in two parts, 33812 and 641, that added together give a triangular number (34453 = T₂₆₂).

The spelling of 33812641 in words is "thirty-three million, eight hundred twelve thousand, six hundred forty-one".