1005993 has 32 divisors (see below), whose sum is σ = 1641600. Its totient is φ = 606528.

The previous prime is 1005989. The next prime is 1006003. The reversal of 1005993 is 3995001.

It is not a de Polignac number, because 1005993 - 2² = 1005989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1005913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18955 + ... + 19007.

It is an arithmetic number, because the mean of its divisors is an integer number (51300).

2^1005993 is an apocalyptic number.

It is an amenable number.

1005993 is a deficient number, since it is larger than the sum of its proper divisors (635607).

1005993 is a wasteful number, since it uses less digits than its factorization.

1005993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 1005993 is about 1002.9920238965. The cubic root of 1005993 is about 100.1993689228.

The spelling of 1005993 in words is "one million, five thousand, nine hundred ninety-three".