42075 has 36 divisors (see below), whose sum is σ = 87048. Its totient is φ = 19200.

The previous prime is 42073. The next prime is 42083. The reversal of 42075 is 57024.

42075 = 10³ + 11³ + ... + 20³.

It is a happy number.

42075 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42075 - 2¹ = 42073 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 7.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42075.

It is not an unprimeable number, because it can be changed into a prime (42071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2467 + ... + 2483.

It is an arithmetic number, because the mean of its divisors is an integer number (2418).

2⁴²⁰⁷⁵ is an apocalyptic number.

42075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42075 is the 110-th nonagonal number.

42075 is an abundant number, since it is smaller than the sum of its proper divisors (44973).

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 (43524).

42075 is a wasteful number, since it uses less digits than its factorization.

42075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 42075 is about 205.1219149677. The cubic root of 42075 is about 34.7809447800.

Adding to 42075 its reverse (57024), we get a palindrome (99099).

The spelling of 42075 in words is "forty-two thousand, seventy-five".