905712 has 20 divisors (see below), whose sum is σ = 2339880. Its totient is φ = 301888.

The previous prime is 905701. The next prime is 905713. The reversal of 905712 is 217509.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9387 + ... + 9482.

It is an arithmetic number, because the mean of its divisors is an integer number (116994).

2⁹⁰⁵⁷¹² is an apocalyptic number.

It is an amenable number.

905712 is an abundant number, since it is smaller than the sum of its proper divisors (1434168).

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

905712 is a wasteful number, since it uses less digits than its factorization.

905712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18880 (or 18874 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 905712 is about 951.6890248395. The cubic root of 905712 is about 96.7527625088.

The spelling of 905712 in words is "nine hundred five thousand, seven hundred twelve".