42829743 has 32 divisors (see below), whose sum is σ = 66447360. Its totient is φ = 24265440.

The previous prime is 42829729. The next prime is 42829793. The reversal of 42829743 is 34792824.

It is not a de Polignac number, because 42829743 - 2⁴ = 42829727 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42829793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51630 + ... + 52452.

It is an arithmetic number, because the mean of its divisors is an integer number (2076480).

Almost surely, 2^42829743 is an apocalyptic number.

42829743 is a deficient number, since it is larger than the sum of its proper divisors (23617617).

42829743 is a wasteful number, since it uses less digits than its factorization.

42829743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939.

The product of its digits is 96768, while the sum is 39.

The square root of 42829743 is about 6544.4436738351. The cubic root of 42829743 is about 349.8768083452.

The spelling of 42829743 in words is "forty-two million, eight hundred twenty-nine thousand, seven hundred forty-three".