42906 has 8 divisors (see below), whose sum is σ = 85824. Its totient is φ = 14300.

The previous prime is 42901. The next prime is 42923. The reversal of 42906 is 60924.

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

42906 is an admirable number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (42901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3570 + ... + 3581.

It is an arithmetic number, because the mean of its divisors is an integer number (10728).

2⁴²⁹⁰⁶ is an apocalyptic number.

42906 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 (42912).

42906 is a wasteful number, since it uses less digits than its factorization.

42906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 42906 is about 207.1376354022. The cubic root of 42906 is about 35.0084333420.

The spelling of 42906 in words is "forty-two thousand, nine hundred six".