27965 has 16 divisors (see below), whose sum is σ = 41472. Its totient is φ = 17664.

The previous prime is 27961. The next prime is 27967. The reversal of 27965 is 56972.

It is a cyclic number.

It is not a de Polignac number, because 27965 - 2² = 27961 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572 + ... + 618.

It is an arithmetic number, because the mean of its divisors is an integer number (2592).

2²⁷⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

27965 is a deficient number, since it is larger than the sum of its proper divisors (13507).

27965 is a wasteful number, since it uses less digits than its factorization.

27965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76.

The product of its digits is 3780, while the sum is 29.

The square root of 27965 is about 167.2273901010. The cubic root of 27965 is about 30.3532319892.

The spelling of 27965 in words is "twenty-seven thousand, nine hundred sixty-five".