27973 has 4 divisors (see below), whose sum is σ = 30528. Its totient is φ = 25420.

The previous prime is 27967. The next prime is 27983. The reversal of 27973 is 37972.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 27973 - 2⁵ = 27941 is a prime.

It is a super-4 number, since 4×27973⁴ = 2449154444048141764, which contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27943) 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, 1261 + ... + 1282.

It is an arithmetic number, because the mean of its divisors is an integer number (7632).

2²⁷⁹⁷³ is an apocalyptic number.

It is an amenable number.

27973 is a deficient number, since it is larger than the sum of its proper divisors (2555).

27973 is a wasteful number, since it uses less digits than its factorization.

27973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554.

The product of its digits is 2646, while the sum is 28.

The square root of 27973 is about 167.2513079172. The cubic root of 27973 is about 30.3561261152.

Subtracting 27973 from its reverse (37972), we obtain a palindrome (9999).

It can be divided in two parts, 27 and 973, that added together give a cube (1000 = 10³).

The spelling of 27973 in words is "twenty-seven thousand, nine hundred seventy-three".