27761 has 8 divisors (see below), whose sum is σ = 31104. Its totient is φ = 24640.

The previous prime is 27751. The next prime is 27763. The reversal of 27761 is 16772.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27761 - 2⁶ = 27697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27761.

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 7 ways as a sum of consecutive naturals, for example, 356 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (3888).

2²⁷⁷⁶¹ is an apocalyptic number.

It is an amenable number.

27761 is a deficient number, since it is larger than the sum of its proper divisors (3343).

27761 is a wasteful number, since it uses less digits than its factorization.

27761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111.

The product of its digits is 588, while the sum is 23.

The square root of 27761 is about 166.6163257307. The cubic root of 27761 is about 30.2792445367.

The spelling of 27761 in words is "twenty-seven thousand, seven hundred sixty-one".