27975 has 12 divisors (see below), whose sum is σ = 46376. Its totient is φ = 14880.

The previous prime is 27967. The next prime is 27983. The reversal of 27975 is 57972.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27967) and next prime (27983).

It is not a de Polignac number, because 27975 - 2³ = 27967 is a prime.

It is a Duffinian number.

27975 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112 + ... + 261.

2²⁷⁹⁷⁵ is an apocalyptic number.

27975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27975 is a deficient number, since it is larger than the sum of its proper divisors (18401).

27975 is a wasteful number, since it uses less digits than its factorization.

27975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 381 counting only the distinct ones).

The product of its digits is 4410, while the sum is 30.

The square root of 27975 is about 167.2572868368. The cubic root of 27975 is about 30.3568495605.

Adding to 27975 its product of digits (4410), we get a triangular number (32385 = T₂₅₄).

The spelling of 27975 in words is "twenty-seven thousand, nine hundred seventy-five".