42045 has 8 divisors (see below), whose sum is σ = 67296. Its totient is φ = 22416.

The previous prime is 42043. The next prime is 42061. The reversal of 42045 is 54024.

42045 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 42045 - 2¹ = 42043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 2803 = 42045 / (4 + 2 + 0 + 4 + 5).

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 42045.

It is not an unprimeable number, because it can be changed into a prime (42043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1387 + ... + 1416.

It is an arithmetic number, because the mean of its divisors is an integer number (8412).

2⁴²⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

42045 is a deficient number, since it is larger than the sum of its proper divisors (25251).

42045 is a wasteful number, since it uses less digits than its factorization.

42045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811.

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 42045 is about 205.0487746854. The cubic root of 42045 is about 34.7726763987.

Adding to 42045 its reverse (54024), we get a palindrome (96069).

It can be divided in two parts, 420 and 45, that added together give a triangular number (465 = T₃₀).

The spelling of 42045 in words is "forty-two thousand, forty-five".