50127 has 24 divisors (see below), whose sum is σ = 87552. Its totient is φ = 25200.

The previous prime is 50123. The next prime is 50129. The reversal of 50127 is 72105.

It is a happy number.

It is not a de Polignac number, because 50127 - 2² = 50123 is a prime.

It is a super-2 number, since 2×50127² = 5025432258, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1602 + ... + 1632.

It is an arithmetic number, because the mean of its divisors is an integer number (3648).

2⁵⁰¹²⁷ is an apocalyptic number.

50127 is a deficient number, since it is larger than the sum of its proper divisors (37425).

50127 is a wasteful number, since it uses less digits than its factorization.

50127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 50127 is about 223.8905982841. The cubic root of 50127 is about 36.8714800815.

It can be divided in two parts, 501 and 27, that added together give a triangular number (528 = T₃₂).

The spelling of 50127 in words is "fifty thousand, one hundred twenty-seven".