27742 has 16 divisors (see below), whose sum is σ = 49392. Its totient is φ = 11520.

The previous prime is 27739. The next prime is 27743. The reversal of 27742 is 24772.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 (27743) 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, 238 + ... + 334.

It is an arithmetic number, because the mean of its divisors is an integer number (3087).

2²⁷⁷⁴² is an apocalyptic number.

27742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

27742 is a deficient number, since it is larger than the sum of its proper divisors (21650).

27742 is a wasteful number, since it uses less digits than its factorization.

27742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123.

The product of its digits is 784, while the sum is 22.

The square root of 27742 is about 166.5592987497. The cubic root of 27742 is about 30.2723351201.

It can be divided in two parts, 2 and 7742, that added together give a square (7744 = 88²).

The spelling of 27742 in words is "twenty-seven thousand, seven hundred forty-two", and thus it is an iban number.