127974 has 32 divisors (see below), whose sum is σ = 320256. Its totient is φ = 33120.

The previous prime is 127973. The next prime is 127979. The reversal of 127974 is 479721.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127973) 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, 324 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (10008).

2¹²⁷⁹⁷⁴ is an apocalyptic number.

127974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160128).

127974 is an abundant number, since it is smaller than the sum of its proper divisors (192282).

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

127974 is a wasteful number, since it uses less digits than its factorization.

127974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300.

The product of its digits is 3528, while the sum is 30.

The square root of 127974 is about 357.7345384500. The cubic root of 127974 is about 50.3934294786.

The spelling of 127974 in words is "one hundred twenty-seven thousand, nine hundred seventy-four".