903952 has 30 divisors (see below), whose sum is σ = 2039118. Its totient is φ = 387072.

The previous prime is 903949. The next prime is 903967. The reversal of 903952 is 259309.

It can be written as a sum of positive squares in only one way, i.e., 853776 + 50176 = 924^2 + 224^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 903952.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 208 + ... + 1360.

2⁹⁰³⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 903952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019559).

903952 is an abundant number, since it is smaller than the sum of its proper divisors (1135166).

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

903952 is a wasteful number, since it uses less digits than its factorization.

903952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 903952 is about 950.7639033956. The cubic root of 903952 is about 96.6900511533.

The spelling of 903952 in words is "nine hundred three thousand, nine hundred fifty-two".