27977 has 4 divisors (see below), whose sum is σ = 28356. Its totient is φ = 27600.

The previous prime is 27967. The next prime is 27983. The reversal of 27977 is 77972.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 17161 + 10816 = 131^2 + 104^2 .

It is a cyclic number.

It is not a de Polignac number, because 27977 - 2⁴ = 27961 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 8 and base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27977.

It is not an unprimeable number, because it can be changed into a prime (27917) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38 + ... + 239.

It is an arithmetic number, because the mean of its divisors is an integer number (7089).

2²⁷⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

27977 is a deficient number, since it is larger than the sum of its proper divisors (379).

27977 is a wasteful number, since it uses less digits than its factorization.

27977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378.

The product of its digits is 6174, while the sum is 32.

The square root of 27977 is about 167.2632655427. The cubic root of 27977 is about 30.3575729713.

The spelling of 27977 in words is "twenty-seven thousand, nine hundred seventy-seven".