905952 has 24 divisors (see below), whose sum is σ = 2378376. Its totient is φ = 301952.

The previous prime is 905951. The next prime is 905959. The reversal of 905952 is 259509.

905952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4623 + ... + 4814.

It is an arithmetic number, because the mean of its divisors is an integer number (99099).

2⁹⁰⁵⁹⁵² is an apocalyptic number.

It is an amenable number.

905952 is an abundant number, since it is smaller than the sum of its proper divisors (1472424).

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

905952 is a wasteful number, since it uses less digits than its factorization.

905952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9450 (or 9442 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 905952 is about 951.8151080961. The cubic root of 905952 is about 96.7613077610.

The spelling of 905952 in words is "nine hundred five thousand, nine hundred fifty-two".