830165733 has 32 divisors (see below), whose sum is σ = 1255372800. Its totient is φ = 542084400.

The previous prime is 830165729. The next prime is 830165741. The reversal of 830165733 is 337561038.

830165733 is a `hidden beast` number, since 83 + 0 + 1 + 6 + 573 + 3 = 666.

It is not a de Polignac number, because 830165733 - 2² = 830165729 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 (830165723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277938 + ... + 280908.

It is an arithmetic number, because the mean of its divisors is an integer number (39230400).

Almost surely, 2^830165733 is an apocalyptic number.

It is an amenable number.

830165733 is a deficient number, since it is larger than the sum of its proper divisors (425207067).

830165733 is a wasteful number, since it uses less digits than its factorization.

830165733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 830165733 is about 28812.5967764101. The cubic root of 830165733 is about 939.8421845367.

The spelling of 830165733 in words is "eight hundred thirty million, one hundred sixty-five thousand, seven hundred thirty-three".