42306 has 16 divisors (see below), whose sum is σ = 92448. Its totient is φ = 12800.

The previous prime is 42299. The next prime is 42307. The reversal of 42306 is 60324.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42306.

It is not an unprimeable number, because it can be changed into a prime (42307) by changing a digit.

42306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (5778).

2⁴²³⁰⁶ is an apocalyptic number.

42306 is an abundant number, since it is smaller than the sum of its proper divisors (50142).

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 (46224).

42306 is a wasteful number, since it uses less digits than its factorization.

42306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 42306 is about 205.6842239940. The cubic root of 42306 is about 34.8444800500.

The spelling of 42306 in words is "forty-two thousand, three hundred six".