42015 has 8 divisors (see below), whose sum is σ = 67248. Its totient is φ = 22400.

The previous prime is 42013. The next prime is 42017. The reversal of 42015 is 51024.

42015 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 an interprime number because it is at equal distance from previous prime (42013) and next prime (42017).

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

It is not a de Polignac number, because 42015 - 2¹ = 42013 is a prime.

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 42015.

It is not an unprimeable number, because it can be changed into a prime (42013) 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, 1386 + ... + 1415.

It is an arithmetic number, because the mean of its divisors is an integer number (8406).

2⁴²⁰¹⁵ is an apocalyptic number.

42015 is a deficient number, since it is larger than the sum of its proper divisors (25233).

42015 is a wasteful number, since it uses less digits than its factorization.

42015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 42015 is about 204.9756083050. The cubic root of 42015 is about 34.7644040833.

Adding to 42015 its reverse (51024), we get a palindrome (93039).

Subtracting 42015 from its reverse (51024), we obtain a palindrome (9009).

It can be divided in two parts, 420 and 15, that added together give a triangular number (435 = T₂₉).

The spelling of 42015 in words is "forty-two thousand, fifteen".