51127 has 8 divisors (see below), whose sum is σ = 55440. Its totient is φ = 47040.

The previous prime is 51109. The next prime is 51131. The reversal of 51127 is 72115.

51127 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51127 is a prime.

It is a super-3 number, since 3×51127³ = 400933352356149, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

51127 is a lucky number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 51127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1168 + ... + 1210.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

2⁵¹¹²⁷ is an apocalyptic number.

51127 is a deficient number, since it is larger than the sum of its proper divisors (4313).

51127 is a wasteful number, since it uses less digits than its factorization.

51127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113.

The product of its digits is 70, while the sum is 16.

The square root of 51127 is about 226.1128037065. The cubic root of 51127 is about 37.1150545675.

The spelling of 51127 in words is "fifty-one thousand, one hundred twenty-seven".