42945 has 16 divisors (see below), whose sum is σ = 78720. Its totient is φ = 19584.

The previous prime is 42943. The next prime is 42953. The reversal of 42945 is 54924.

42945 = T₃₁ + T₃₂ + ... + T₆₅.

42945 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 not a de Polignac number, because 42945 - 2¹ = 42943 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (4920).

2⁴²⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

42945 is a deficient number, since it is larger than the sum of its proper divisors (35775).

42945 is a wasteful number, since it uses less digits than its factorization.

42945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424.

The product of its digits is 1440, while the sum is 24.

The square root of 42945 is about 207.2317543235. The cubic root of 42945 is about 35.0190372624.

It can be divided in two parts, 429 and 45, that added together give a palindrome (474).

The spelling of 42945 in words is "forty-two thousand, nine hundred forty-five".