27679033 has 2 divisors, whose sum is σ = 27679034. Its totient is φ = 27679032.

The previous prime is 27679019. The next prime is 27679037. The reversal of 27679033 is 33097672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27164944 + 514089 = 5212^2 + 717^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27679033 is a prime.

It is a super-2 number, since 2×27679033² = 1532257735630178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27678983 and 27679001.

It is not a weakly prime, because it can be changed into another prime (27679037) 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, 13839516 + 13839517.

It is an arithmetic number, because the mean of its divisors is an integer number (13839517).

Almost surely, 2^27679033 is an apocalyptic number.

It is an amenable number.

27679033 is a deficient number, since it is larger than the sum of its proper divisors (1).

27679033 is an equidigital number, since it uses as much as digits as its factorization.

27679033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47628, while the sum is 37.

The square root of 27679033 is about 5261.0866748230. The cubic root of 27679033 is about 302.4941437293.

The spelling of 27679033 in words is "twenty-seven million, six hundred seventy-nine thousand, thirty-three".