1007133 has 8 divisors (see below), whose sum is σ = 1413600. Its totient is φ = 636048.

The previous prime is 1007129. The next prime is 1007137. The reversal of 1007133 is 3317001.

It is an interprime number because it is at equal distance from previous prime (1007129) and next prime (1007137).

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

It is not a de Polignac number, because 1007133 - 2² = 1007129 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 (1007137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8778 + ... + 8891.

It is an arithmetic number, because the mean of its divisors is an integer number (176700).

2^1007133 is an apocalyptic number.

It is an amenable number.

1007133 is a deficient number, since it is larger than the sum of its proper divisors (406467).

1007133 is a wasteful number, since it uses less digits than its factorization.

1007133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17691.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 1007133 is about 1003.5601626211. The cubic root of 1007133 is about 100.2372035665.

The spelling of 1007133 in words is "one million, seven thousand, one hundred thirty-three".