42735 has 32 divisors (see below), whose sum is σ = 87552. Its totient is φ = 17280.

The previous prime is 42727. The next prime is 42737. The reversal of 42735 is 53724.

It is a happy number.

It is not a de Polignac number, because 42735 - 2³ = 42727 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1137 + ... + 1173.

It is an arithmetic number, because the mean of its divisors is an integer number (2736).

2⁴²⁷³⁵ is an apocalyptic number.

42735 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43776).

42735 is a wasteful number, since it uses less digits than its factorization.

42735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63.

The product of its digits is 840, while the sum is 21.

The square root of 42735 is about 206.7244542864. The cubic root of 42735 is about 34.9618632223.

It can be divided in two parts, 4273 and 5, that added together give a triangular number (4278 = T₉₂).

The spelling of 42735 in words is "forty-two thousand, seven hundred thirty-five".