27951 has 16 divisors (see below), whose sum is σ = 46848. Its totient is φ = 14520.

The previous prime is 27947. The next prime is 27953. The reversal of 27951 is 15972.

27951 = 38² + 39² + ... + 51².

It is not a de Polignac number, because 27951 - 2² = 27947 is a prime.

Its product of digits (630) is a multiple of the sum of its prime divisors (21).

27951 is a lucky number.

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 (27953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2536 + ... + 2546.

It is an arithmetic number, because the mean of its divisors is an integer number (2928).

2²⁷⁹⁵¹ is an apocalyptic number.

27951 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

27951 is a deficient number, since it is larger than the sum of its proper divisors (18897).

27951 is an equidigital number, since it uses as much as digits as its factorization.

27951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 21 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 27951 is about 167.1855256893. The cubic root of 27951 is about 30.3481659402.

The spelling of 27951 in words is "twenty-seven thousand, nine hundred fifty-one".