905112 has 48 divisors (see below), whose sum is σ = 2642640. Its totient is φ = 278208.

The previous prime is 905111. The next prime is 905123. The reversal of 905112 is 211509.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 453 + ... + 1419.

It is an arithmetic number, because the mean of its divisors is an integer number (55055).

2⁹⁰⁵¹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321320).

905112 is an abundant number, since it is smaller than the sum of its proper divisors (1737528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

905112 is a wasteful number, since it uses less digits than its factorization.

905112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 905112 is about 951.3737435940. The cubic root of 905112 is about 96.7313927720.

The spelling of 905112 in words is "nine hundred five thousand, one hundred twelve".