27764 has 12 divisors (see below), whose sum is σ = 53088. Its totient is φ = 12600.

The previous prime is 27763. The next prime is 27767. The reversal of 27764 is 46772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27763) 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, 272 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (4424).

2²⁷⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

27764 is a deficient number, since it is larger than the sum of its proper divisors (25324).

27764 is a wasteful number, since it uses less digits than its factorization.

27764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 644 counting only the distinct ones).

The product of its digits is 2352, while the sum is 26.

The square root of 27764 is about 166.6253282067. The cubic root of 27764 is about 30.2803352090.

The spelling of 27764 in words is "twenty-seven thousand, seven hundred sixty-four".