905216 has 52 divisors (see below), whose sum is σ = 2064132. Its totient is φ = 393216.

The previous prime is 905213. The next prime is 905227. The reversal of 905216 is 612509.

It can be written as a sum of positive squares in 2 ways, for example, as 409600 + 495616 = 640^2 + 704^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 905191 and 905200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905213) 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, 53240 + ... + 53256.

2⁹⁰⁵²¹⁶ 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 905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032066).

905216 is an abundant number, since it is smaller than the sum of its proper divisors (1158916).

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

905216 is a wasteful number, since it uses less digits than its factorization.

905216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 905216 is about 951.4283998284. The cubic root of 905216 is about 96.7350975362.

The spelling of 905216 in words is "nine hundred five thousand, two hundred sixteen".