1284084 has 36 divisors (see below), whose sum is σ = 3312036. Its totient is φ = 419328.

The previous prime is 1284083. The next prime is 1284131. The reversal of 1284084 is 4804821.

It can be written as a sum of positive squares in 2 ways, for example, as 675684 + 608400 = 822^2 + 780^2 .

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1572 + ... + 2244.

It is an arithmetic number, because the mean of its divisors is an integer number (92001).

2^1284084 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 1284084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656018).

1284084 is an abundant number, since it is smaller than the sum of its proper divisors (2027952).

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

1284084 is a wasteful number, since it uses less digits than its factorization.

1284084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1284084 is about 1133.1743025678. The cubic root of 1284084 is about 108.6920579171.

The spelling of 1284084 in words is "one million, two hundred eighty-four thousand, eighty-four".