42315 has 32 divisors (see below), whose sum is σ = 86016. Its totient is φ = 17280.
The previous prime is 42307. The next prime is 42323. The reversal of 42315 is 51324.
42315 is digitally balanced in base 2, because in such base 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 (42307) and next prime (42323).
It is not a de Polignac number, because 42315 - 23 = 42307 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a nialpdrome in base 15.
It is a junction number, because it is equal to n+sod(n) for n = 42294 and 42303.
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 42315.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1350 + ... + 1380.
It is an arithmetic number, because the mean of its divisors is an integer number (2688).
242315 is an apocalyptic number.
42315 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.
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 (43008).
42315 is a wasteful number, since it uses less digits than its factorization.
42315 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 59.
The product of its digits is 120, while the sum is 15.
The square root of 42315 is about 205.7061010277. The cubic root of 42315 is about 34.8469507640.
Subtracting from 42315 its product of digits (120), we obtain a triangular number (42195 = T290).
Adding to 42315 its reverse (51324), we get a palindrome (93639).
Subtracting 42315 from its reverse (51324), we obtain a palindrome (9009).
The spelling of 42315 in words is "forty-two thousand, three hundred fifteen".
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