1005333 has 16 divisors (see below), whose sum is σ = 1564800. Its totient is φ = 573888.

The previous prime is 1005331. The next prime is 1005349. The reversal of 1005333 is 3335001.

It is not a de Polignac number, because 1005333 - 2¹ = 1005331 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541 + ... + 1517.

It is an arithmetic number, because the mean of its divisors is an integer number (97800).

2^1005333 is an apocalyptic number.

It is an amenable number.

1005333 is a deficient number, since it is larger than the sum of its proper divisors (559467).

1005333 is an frugal number, since it uses more digits than its factorization.

1005333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 1005333 is about 1002.6629543371. The cubic root of 1005333 is about 100.1774515897.

The spelling of 1005333 in words is "one million, five thousand, three hundred thirty-three".