742066833 has 16 divisors (see below), whose sum is σ = 1009060416. Its totient is φ = 484910400.

The previous prime is 742066817. The next prime is 742066841. The reversal of 742066833 is 338660247.

It is not a de Polignac number, because 742066833 - 2⁴ = 742066817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 742066791 and 742066800.

It is not an unprimeable number, because it can be changed into a prime (742066883) 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 15 ways as a sum of consecutive naturals, for example, 258858 + ... + 261708.

It is an arithmetic number, because the mean of its divisors is an integer number (63066276).

Almost surely, 2^742066833 is an apocalyptic number.

It is an amenable number.

742066833 is a deficient number, since it is larger than the sum of its proper divisors (266993583).

742066833 is a wasteful number, since it uses less digits than its factorization.

With its successor (742066834) it forms an eRAP, since the sums of their prime factors are consecutive (4544 and 4545).

742066833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544.

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 742066833 is about 27240.9036744378. The cubic root of 742066833 is about 905.3454855451.

The spelling of 742066833 in words is "seven hundred forty-two million, sixty-six thousand, eight hundred thirty-three".