36129 has 4 divisors (see below), whose sum is σ = 48176. Its totient is φ = 24084.

The previous prime is 36109. The next prime is 36131. The reversal of 36129 is 92163.

36129 = 36² + 37² + ... + 53².

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 36129 - 2⁵ = 36097 is a prime.

It is a D-number.

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

It is a Duffinian number.

36129 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (36109) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6019 + ... + 6024.

It is an arithmetic number, because the mean of its divisors is an integer number (12044).

2³⁶¹²⁹ is an apocalyptic number.

It is an amenable number.

36129 is a deficient number, since it is larger than the sum of its proper divisors (12047).

36129 is a wasteful number, since it uses less digits than its factorization.

36129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12046.

The product of its digits is 324, while the sum is 21.

The square root of 36129 is about 190.0763004690. The cubic root of 36129 is about 33.0586651606.

The spelling of 36129 in words is "thirty-six thousand, one hundred twenty-nine".