981216 has 36 divisors (see below), whose sum is σ = 2791152. Its totient is φ = 326976.

The previous prime is 981209. The next prime is 981221. The reversal of 981216 is 612189.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

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

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 981216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1416 + ... + 1991.

It is an arithmetic number, because the mean of its divisors is an integer number (77532).

2⁹⁸¹²¹⁶ is an apocalyptic number.

981216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

981216 is an abundant number, since it is smaller than the sum of its proper divisors (1809936).

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

981216 is a wasteful number, since it uses less digits than its factorization.

981216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3412 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 981216 is about 990.5634760075. The cubic root of 981216 is about 99.3699048058.

Subtracting from 981216 its sum of digits (27), we obtain a palindrome (981189).

It can be divided in two parts, 9 and 81216, that added together give a square (81225 = 285²).

The spelling of 981216 in words is "nine hundred eighty-one thousand, two hundred sixteen".