5305216 has 64 divisors (see below), whose sum is σ = 12533760. Its totient is φ = 2188800.

The previous prime is 5305193. The next prime is 5305229. The reversal of 5305216 is 6125035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27681 + ... + 27871.

It is an arithmetic number, because the mean of its divisors is an integer number (195840).

Almost surely, 2^5305216 is an apocalyptic number.

5305216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6266880).

5305216 is an abundant number, since it is smaller than the sum of its proper divisors (7228544).

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

5305216 is a wasteful number, since it uses less digits than its factorization.

5305216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 5305216 is about 2303.3054508684. The cubic root of 5305216 is about 174.4085173856.

The spelling of 5305216 in words is "five million, three hundred five thousand, two hundred sixteen".