906 has 8 divisors (see below), whose sum is σ = 1824. Its totient is φ = 300.

The previous prime is 887. The next prime is 907. The reversal of 906 is 609.

906 is nontrivially palindromic in base 12.

906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

906 is an admirable number.

906 is a strobogrammatic number because it is the same when read upside-down.

906 is an undulating number in base 12.

It is a plaindrome in base 14 and base 16.

It is a nialpdrome in base 6 and base 11.

It is not an unprimeable number, because it can be changed into a prime (907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70 + ... + 81.

It is an arithmetic number, because the mean of its divisors is an integer number (228).

906 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 (912).

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

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

The sum of its prime factors is 156.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 906 is about 30.0998338866. The cubic root of 906 is about 9.6763016630.

The spelling of 906 in words is "nine hundred six", and is thus an aban number and an oban number.

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