1005613 has 8 divisors (see below), whose sum is σ = 1209920. Its totient is φ = 816480.

The previous prime is 1005593. The next prime is 1005617. The reversal of 1005613 is 3165001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1005613 - 2⁵ = 1005581 is a prime.

It is a super-2 number, since 2×1005613² = 2022515011538, which contains 22 as substring.

1005613 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005617) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3648 + ... + 3913.

It is an arithmetic number, because the mean of its divisors is an integer number (151240).

2^1005613 is an apocalyptic number.

It is an amenable number.

1005613 is a deficient number, since it is larger than the sum of its proper divisors (204307).

1005613 is an equidigital number, since it uses as much as digits as its factorization.

1005613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7587.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1005613 is about 1002.8025727929. The cubic root of 1005613 is about 100.1867510234.

The spelling of 1005613 in words is "one million, five thousand, six hundred thirteen".