66129 has 16 divisors (see below), whose sum is σ = 104448. Its totient is φ = 36432.

The previous prime is 66109. The next prime is 66137. The reversal of 66129 is 92166.

It is not a de Polignac number, because 66129 - 2⁹ = 65617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66099 and 66108.

It is not an unprimeable number, because it can be changed into a prime (66109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (6528).

2⁶⁶¹²⁹ is an apocalyptic number.

It is an amenable number.

66129 is a deficient number, since it is larger than the sum of its proper divisors (38319).

66129 is a wasteful number, since it uses less digits than its factorization.

66129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124.

The product of its digits is 648, while the sum is 24.

The square root of 66129 is about 257.1555949226. The cubic root of 66129 is about 40.4387123619.

The spelling of 66129 in words is "sixty-six thousand, one hundred twenty-nine".