905663 has 8 divisors (see below), whose sum is σ = 994896. Its totient is φ = 817600.

The previous prime is 905659. The next prime is 905677. The reversal of 905663 is 366509.

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

It is a cyclic number.

It is not a de Polignac number, because 905663 - 2² = 905659 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2945 + ... + 3237.

It is an arithmetic number, because the mean of its divisors is an integer number (124362).

2⁹⁰⁵⁶⁶³ is an apocalyptic number.

905663 is a deficient number, since it is larger than the sum of its proper divisors (89233).

905663 is a wasteful number, since it uses less digits than its factorization.

905663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585.

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 905663 is about 951.6632807879. The cubic root of 905663 is about 96.7510176676.

It can be divided in two parts, 9056 and 63, that added together give a palindrome (9119).

The spelling of 905663 in words is "nine hundred five thousand, six hundred sixty-three".