1006733 has 24 divisors (see below), whose sum is σ = 1335168. Its totient is φ = 741312.

The previous prime is 1006721. The next prime is 1006739. The reversal of 1006733 is 3376001.

It is not a de Polignac number, because 1006733 - 2¹⁰ = 1005709 is a prime.

It is a super-2 number, since 2×1006733² = 2027022666578, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006739) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27191 + ... + 27227.

It is an arithmetic number, because the mean of its divisors is an integer number (55632).

2^1006733 is an apocalyptic number.

1006733 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1006733 is a deficient number, since it is larger than the sum of its proper divisors (328435).

1006733 is a wasteful number, since it uses less digits than its factorization.

1006733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 1006733 is about 1003.3608523358. The cubic root of 1006733 is about 100.2239315058.

The spelling of 1006733 in words is "one million, six thousand, seven hundred thirty-three".