27933029 has 2 divisors, whose sum is σ = 27933030. Its totient is φ = 27933028.

The previous prime is 27933011. The next prime is 27933043. The reversal of 27933029 is 92033972.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25908100 + 2024929 = 5090^2 + 1423^2 .

It is a cyclic number.

It is not a de Polignac number, because 27933029 - 2¹⁶ = 27867493 is a prime.

It is a super-2 number, since 2×27933029² = 1560508218229682, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 27933029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27933049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13966514 + 13966515.

It is an arithmetic number, because the mean of its divisors is an integer number (13966515).

Almost surely, 2^27933029 is an apocalyptic number.

It is an amenable number.

27933029 is a deficient number, since it is larger than the sum of its proper divisors (1).

27933029 is an equidigital number, since it uses as much as digits as its factorization.

27933029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 35.

The square root of 27933029 is about 5285.1706689567. The cubic root of 27933029 is about 303.4166046255.

The spelling of 27933029 in words is "twenty-seven million, nine hundred thirty-three thousand, twenty-nine".