127836 has 36 divisors (see below), whose sum is σ = 334152. Its totient is φ = 41184.

The previous prime is 127819. The next prime is 127837. The reversal of 127836 is 638721.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127837) by changing a digit.

127836 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 1875 + ... + 1941.

It is an arithmetic number, because the mean of its divisors is an integer number (9282).

2¹²⁷⁸³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167076).

127836 is an abundant number, since it is smaller than the sum of its proper divisors (206316).

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

127836 is a wasteful number, since it uses less digits than its factorization.

127836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 127836 is about 357.5416059705. The cubic root of 127836 is about 50.3753091456.

The spelling of 127836 in words is "one hundred twenty-seven thousand, eight hundred thirty-six".