127182 has 32 divisors (see below), whose sum is σ = 290304. Its totient is φ = 36800.

The previous prime is 127163. The next prime is 127189. The reversal of 127182 is 281721.

It is a super-2 number, since 2×127182² = 32350522248, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127189) 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, 2683 + ... + 2729.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2¹²⁷¹⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152).

127182 is an abundant number, since it is smaller than the sum of its proper divisors (163122).

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

127182 is a wasteful number, since it uses less digits than its factorization.

127182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104.

The product of its digits is 224, while the sum is 21.

The square root of 127182 is about 356.6258543628. The cubic root of 127182 is about 50.2892567174.

It can be divided in two parts, 12718 and 2, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 127182 in words is "one hundred twenty-seven thousand, one hundred eighty-two".