903948 has 12 divisors (see below), whose sum is σ = 2109240. Its totient is φ = 301312.

The previous prime is 903919. The next prime is 903949. The reversal of 903948 is 849309.

903948 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 (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 903948.

It is not an unprimeable number, because it can be changed into a prime (903949) 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, 37653 + ... + 37676.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

2⁹⁰³⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

903948 is an abundant number, since it is smaller than the sum of its proper divisors (1205292).

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

903948 is a wasteful number, since it uses less digits than its factorization.

903948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75336 (or 75334 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 903948 is about 950.7617998216. The cubic root of 903948 is about 96.6899085348.

The spelling of 903948 in words is "nine hundred three thousand, nine hundred forty-eight".