905993 has 8 divisors (see below), whose sum is σ = 1031616. Its totient is φ = 787600.

The previous prime is 905963. The next prime is 905999. The reversal of 905993 is 399509.

905993 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.

It is not a de Polignac number, because 905993 - 2¹⁶ = 840457 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (905999) 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, 1538 + ... + 2043.

It is an arithmetic number, because the mean of its divisors is an integer number (128952).

2⁹⁰⁵⁹⁹³ is an apocalyptic number.

It is an amenable number.

905993 is a deficient number, since it is larger than the sum of its proper divisors (125623).

905993 is a wasteful number, since it uses less digits than its factorization.

905993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615.

The product of its (nonzero) digits is 10935, while the sum is 35.

The square root of 905993 is about 951.8366456488. The cubic root of 905993 is about 96.7627674240.

The spelling of 905993 in words is "nine hundred five thousand, nine hundred ninety-three".