127361 has 8 divisors (see below), whose sum is σ = 139944. Its totient is φ = 115200.

The previous prime is 127343. The next prime is 127363. The reversal of 127361 is 163721.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25600 + 101761 = 160^2 + 319^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 127361 - 2⁶ = 127297 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 127361.

It is not an unprimeable number, because it can be changed into a prime (127363) 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, 1211 + ... + 1311.

It is an arithmetic number, because the mean of its divisors is an integer number (17493).

2¹²⁷³⁶¹ is an apocalyptic number.

It is an amenable number.

127361 is a deficient number, since it is larger than the sum of its proper divisors (12583).

127361 is a wasteful number, since it uses less digits than its factorization.

127361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211.

The product of its digits is 252, while the sum is 20.

The square root of 127361 is about 356.8767294179. The cubic root of 127361 is about 50.3128385585.

The spelling of 127361 in words is "one hundred twenty-seven thousand, three hundred sixty-one".