36127 has 8 divisors (see below), whose sum is σ = 44576. Its totient is φ = 28512.

The previous prime is 36109. The next prime is 36131. The reversal of 36127 is 72163.

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 36127 - 2⁷ = 35999 is a prime.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36107) 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, 108 + ... + 289.

It is an arithmetic number, because the mean of its divisors is an integer number (5572).

2³⁶¹²⁷ is an apocalyptic number.

36127 is a deficient number, since it is larger than the sum of its proper divisors (8449).

36127 is a wasteful number, since it uses less digits than its factorization.

36127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417.

The product of its digits is 252, while the sum is 19.

The square root of 36127 is about 190.0710393511. The cubic root of 36127 is about 33.0580551377.

It can be divided in two parts, 3 and 6127, that multiplied together give a palindrome (18381).

The spelling of 36127 in words is "thirty-six thousand, one hundred twenty-seven".