42129 has 12 divisors (see below), whose sum is σ = 63232. Its totient is φ = 27000.

The previous prime is 42101. The next prime is 42131. The reversal of 42129 is 92124.

42129 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 42129 - 2⁹ = 41617 is a prime.

It is a Duffinian number.

42129 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204 + ... + 354.

2⁴²¹²⁹ is an apocalyptic number.

It is an amenable number.

42129 is a deficient number, since it is larger than the sum of its proper divisors (21103).

42129 is a wasteful number, since it uses less digits than its factorization.

42129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 185 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 42129 is about 205.2535017972. The cubic root of 42129 is about 34.7958179675.

It can be divided in two parts, 42 and 129, that added together give a palindrome (171).

The spelling of 42129 in words is "forty-two thousand, one hundred twenty-nine".