127832 has 24 divisors (see below), whose sum is σ = 261300. Its totient is φ = 58464.

The previous prime is 127819. The next prime is 127837. The reversal of 127832 is 238721.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 127798 and 127807.

It is a congruent number.

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

127832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4394 + ... + 4422.

2¹²⁷⁸³² is an apocalyptic number.

It is an amenable number.

127832 is an abundant number, since it is smaller than the sum of its proper divisors (133468).

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

127832 is a wasteful number, since it uses less digits than its factorization.

127832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 50 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 127832 is about 357.5360121722. The cubic root of 127832 is about 50.3747837241.

Subtracting 127832 from its reverse (238721), we obtain a square (110889 = 333²).

It can be divided in two parts, 127 and 832, that added together give a palindrome (959).

The spelling of 127832 in words is "one hundred twenty-seven thousand, eight hundred thirty-two".