1005084 has 18 divisors (see below), whose sum is σ = 2540720. Its totient is φ = 335016.

The previous prime is 1005079. The next prime is 1005101. The reversal of 1005084 is 4805001.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 13924 + ... + 13995.

2^1005084 is an apocalyptic number.

It is an amenable number.

1005084 is an abundant number, since it is smaller than the sum of its proper divisors (1535636).

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

1005084 is a wasteful number, since it uses less digits than its factorization.

1005084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27929 (or 27924 counting only the distinct ones).

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

The square root of 1005084 is about 1002.5387773049. The cubic root of 1005084 is about 100.1691802856.

It can be divided in two parts, 100 and 5084, that added together give a square (5184 = 72²).

The spelling of 1005084 in words is "one million, five thousand, eighty-four".