1005216 has 48 divisors (see below), whose sum is σ = 2719584. Its totient is φ = 324864.

The previous prime is 1005209. The next prime is 1005217. The reversal of 1005216 is 6125001.

1005216 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 (48).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1005195 and 1005204.

It is not an unprimeable number, because it can be changed into a prime (1005217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3411 + ... + 3693.

It is an arithmetic number, because the mean of its divisors is an integer number (56658).

2^1005216 is an apocalyptic number.

1005216 is a gapful number since it is divisible by the number (16) 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 1005216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359792).

1005216 is an abundant number, since it is smaller than the sum of its proper divisors (1714368).

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

1005216 is a wasteful number, since it uses less digits than its factorization.

1005216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1005216 is about 1002.6046080086. The cubic root of 1005216 is about 100.1735652434.

It can be divided in two parts, 1005 and 216, that added together give a palindrome (1221).

The spelling of 1005216 in words is "one million, five thousand, two hundred sixteen".