127338 has 16 divisors (see below), whose sum is σ = 268320. Its totient is φ = 40176.

The previous prime is 127331. The next prime is 127343. The reversal of 127338 is 833721.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (127331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (16770).

2¹²⁷³³⁸ is an apocalyptic number.

127338 is an abundant number, since it is smaller than the sum of its proper divisors (140982).

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

127338 is a wasteful number, since it uses less digits than its factorization.

127338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141.

The product of its digits is 1008, while the sum is 24.

The square root of 127338 is about 356.8445039510. The cubic root of 127338 is about 50.3098097272.

It can be divided in two parts, 127 and 338, that added together give a triangular number (465 = T₃₀).

The spelling of 127338 in words is "one hundred twenty-seven thousand, three hundred thirty-eight".