42975 has 18 divisors (see below), whose sum is σ = 77376. Its totient is φ = 22800.

The previous prime is 42967. The next prime is 42979. The reversal of 42975 is 57924.

It is not a de Polignac number, because 42975 - 2³ = 42967 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

42975 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42975.

It is not an unprimeable number, because it can be changed into a prime (42979) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 130 + ... + 320.

2⁴²⁹⁷⁵ is an apocalyptic number.

42975 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42975 is a deficient number, since it is larger than the sum of its proper divisors (34401).

42975 is a wasteful number, since it uses less digits than its factorization.

42975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 199 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 42975 is about 207.3041244163. The cubic root of 42975 is about 35.0271897565.

The spelling of 42975 in words is "forty-two thousand, nine hundred seventy-five".