742833 has 24 divisors (see below), whose sum is σ = 1322048. Its totient is φ = 391392.

The previous prime is 742817. The next prime is 742891. The reversal of 742833 is 338247.

It is not a de Polignac number, because 742833 - 2⁴ = 742817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 742797 and 742806.

It is not an unprimeable number, because it can be changed into a prime (742333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366 + ... + 1272.

2⁷⁴²⁸³³ is an apocalyptic number.

It is an amenable number.

742833 is a deficient number, since it is larger than the sum of its proper divisors (579215).

742833 is a wasteful number, since it uses less digits than its factorization.

742833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 930 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 742833 is about 861.8776015189. The cubic root of 742833 is about 90.5656961195.

The spelling of 742833 in words is "seven hundred forty-two thousand, eight hundred thirty-three".