42029 has 8 divisors (see below), whose sum is σ = 46872. Its totient is φ = 37440.

The previous prime is 42023. The next prime is 42043. The reversal of 42029 is 92024.

42029 = 27² + 28² + ... + 52².

It can be written as a sum of positive squares in 4 ways, for example, as 4 + 42025 = 2^2 + 205^2 .

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

It is not a de Polignac number, because 42029 - 2⁴ = 42013 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41998 and 42016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 659 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (5859).

2⁴²⁰²⁹ is an apocalyptic number.

It is an amenable number.

42029 is a deficient number, since it is larger than the sum of its proper divisors (4843).

42029 is a wasteful number, since it uses less digits than its factorization.

42029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 42029 is about 205.0097558654. The cubic root of 42029 is about 34.7682649870.

The spelling of 42029 in words is "forty-two thousand, twenty-nine".