10042733 has 8 divisors (see below), whose sum is σ = 10740600. Its totient is φ = 9356800.

The previous prime is 10042723. The next prime is 10042741. The reversal of 10042733 is 33724001.

It can be written as a sum of positive squares in 4 ways, for example, as 4674244 + 5368489 = 2162^2 + 2317^2 .

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

It is not a de Polignac number, because 10042733 - 2²⁰ = 8994157 is a prime.

It is a super-2 number, since 2×10042733² = 201712972218578, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1208 + ... + 4641.

It is an arithmetic number, because the mean of its divisors is an integer number (1342575).

Almost surely, 2^10042733 is an apocalyptic number.

It is an amenable number.

10042733 is a deficient number, since it is larger than the sum of its proper divisors (697867).

10042733 is a wasteful number, since it uses less digits than its factorization.

10042733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5967.

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 10042733 is about 3169.0271377822. The cubic root of 10042733 is about 215.7499177597.

Adding to 10042733 its reverse (33724001), we get a palindrome (43766734).

The spelling of 10042733 in words is "ten million, forty-two thousand, seven hundred thirty-three".