1084005 has 48 divisors (see below), whose sum is σ = 2162160. Its totient is φ = 497664.

The previous prime is 1084001. The next prime is 1084019. The reversal of 1084005 is 5004801.

It can be written as a sum of positive squares in 8 ways, for example, as 324 + 1083681 = 18^2 + 1041^2 .

It is not a de Polignac number, because 1084005 - 2² = 1084001 is a prime.

It is an Ulam number.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1084001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9891 + ... + 9999.

It is an arithmetic number, because the mean of its divisors is an integer number (45045).

2^1084005 is an apocalyptic number.

1084005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1084005 is a deficient number, since it is larger than the sum of its proper divisors (1078155).

1084005 is a wasteful number, since it uses less digits than its factorization.

1084005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1084005 is about 1041.1556079665. The cubic root of 1084005 is about 102.7252235712.

Adding to 1084005 its reverse (5004801), we get a palindrome (6088806).

The spelling of 1084005 in words is "one million, eighty-four thousand, five".