33813061 has 2 divisors, whose sum is σ = 33813062. Its totient is φ = 33813060.

The previous prime is 33813053. The next prime is 33813067. The reversal of 33813061 is 16031833.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30184036 + 3629025 = 5494^2 + 1905^2 .

It is a cyclic number.

It is not a de Polignac number, because 33813061 - 2³ = 33813053 is a prime.

It is a super-2 number, since 2×33813061² = 2286646188379442, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33813067) 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, 16906530 + 16906531.

It is an arithmetic number, because the mean of its divisors is an integer number (16906531).

Almost surely, 2^33813061 is an apocalyptic number.

It is an amenable number.

33813061 is a deficient number, since it is larger than the sum of its proper divisors (1).

33813061 is an equidigital number, since it uses as much as digits as its factorization.

33813061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 33813061 is about 5814.8999131541. The cubic root of 33813061 is about 323.3663535437.

Adding to 33813061 its reverse (16031833), we get a palindrome (49844894).

The spelling of 33813061 in words is "thirty-three million, eight hundred thirteen thousand, sixty-one".