27772005 has 32 divisors (see below), whose sum is σ = 45722880. Its totient is φ = 14389760.

The previous prime is 27771923. The next prime is 27772007. The reversal of 27772005 is 50027772.

It is not a de Polignac number, because 27772005 - 2¹⁵ = 27739237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27772007) 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 in 31 ways as a sum of consecutive naturals, for example, 94639 + ... + 94931.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^27772005 is an apocalyptic number.

It is an amenable number.

27772005 is a deficient number, since it is larger than the sum of its proper divisors (17950875).

27772005 is a wasteful number, since it uses less digits than its factorization.

27772005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461.

The product of its (nonzero) digits is 6860, while the sum is 30.

The square root of 27772005 is about 5269.9150847049. The cubic root of 27772005 is about 302.8324510184.

Adding to 27772005 its reverse (50027772), we get a palindrome (77799777).

The spelling of 27772005 in words is "twenty-seven million, seven hundred seventy-two thousand, five".