1085984 has 12 divisors (see below), whose sum is σ = 2138094. Its totient is φ = 542976.

The previous prime is 1085971. The next prime is 1085989. The reversal of 1085984 is 4895801.

It can be written as a sum of positive squares in only one way, i.e., 595984 + 490000 = 772^2 + 700^2 .

It is a super-2 number, since 2×1085984² = 2358722496512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16937 + ... + 17000.

2^1085984 is an apocalyptic number.

It is an amenable number.

1085984 is a deficient number, since it is larger than the sum of its proper divisors (1052110).

1085984 is an equidigital number, since it uses as much as digits as its factorization.

1085984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33947 (or 33939 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 1085984 is about 1042.1055608718. The cubic root of 1085984 is about 102.7876985689.

The spelling of 1085984 in words is "one million, eighty-five thousand, nine hundred eighty-four".