27976 has 16 divisors (see below), whose sum is σ = 56700. Its totient is φ = 12864.

The previous prime is 27967. The next prime is 27983. The reversal of 27976 is 67972.

27976 = T₅₉ + T₆₀ + ... + T₇₁.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22500 + 5476 = 150^2 + 74^2 .

It is a nialpdrome in base 8 and base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31 + ... + 238.

2²⁷⁹⁷⁶ is an apocalyptic number.

27976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

27976 is an abundant number, since it is smaller than the sum of its proper divisors (28724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28350).

27976 is a wasteful number, since it uses less digits than its factorization.

27976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its digits is 5292, while the sum is 31.

The square root of 27976 is about 167.2602762164. The cubic root of 27976 is about 30.3572112702.

The spelling of 27976 in words is "twenty-seven thousand, nine hundred seventy-six".