27077985 has 36 divisors (see below), whose sum is σ = 51600276. Its totient is φ = 13126080.

The previous prime is 27077977. The next prime is 27077993. The reversal of 27077985 is 58977072.

It is an interprime number because it is at equal distance from previous prime (27077977) and next prime (27077993).

It can be written as a sum of positive squares in 2 ways, for example, as 13660416 + 13417569 = 3696^2 + 3663^2 .

It is not a de Polignac number, because 27077985 - 2³ = 27077977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 27077985.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2959 + ... + 7931.

It is an arithmetic number, because the mean of its divisors is an integer number (1433341).

Almost surely, 2^27077985 is an apocalyptic number.

It is an amenable number.

27077985 is a deficient number, since it is larger than the sum of its proper divisors (24522291).

27077985 is a wasteful number, since it uses less digits than its factorization.

27077985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 27077985 is about 5203.6511220488. The cubic root of 27077985 is about 300.2885556964.

The spelling of 27077985 in words is "twenty-seven million, seventy-seven thousand, nine hundred eighty-five".