27813431 has 2 divisors, whose sum is σ = 27813432. Its totient is φ = 27813430.

The previous prime is 27813427. The next prime is 27813433. The reversal of 27813431 is 13431872.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 27813431 - 2² = 27813427 is a prime.

It is a super-2 number, since 2×27813431² = 1547173887983522, which contains 22 as substring.

Together with 27813433, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 27813394 and 27813403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27813433) 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, 13906715 + 13906716.

It is an arithmetic number, because the mean of its divisors is an integer number (13906716).

Almost surely, 2^27813431 is an apocalyptic number.

27813431 is a deficient number, since it is larger than the sum of its proper divisors (1).

27813431 is an equidigital number, since it uses as much as digits as its factorization.

27813431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4032, while the sum is 29.

The square root of 27813431 is about 5273.8440439588. The cubic root of 27813431 is about 302.9829491507.

The spelling of 27813431 in words is "twenty-seven million, eight hundred thirteen thousand, four hundred thirty-one".