830784141 has 32 divisors (see below), whose sum is σ = 1388995200. Its totient is φ = 486138240.

The previous prime is 830784137. The next prime is 830784151. The reversal of 830784141 is 141487038.

It is not a de Polignac number, because 830784141 - 2² = 830784137 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 830784096 and 830784105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830784151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39616 + ... + 56841.

It is an arithmetic number, because the mean of its divisors is an integer number (43406100).

Almost surely, 2^830784141 is an apocalyptic number.

It is an amenable number.

830784141 is a deficient number, since it is larger than the sum of its proper divisors (558211059).

830784141 is a wasteful number, since it uses less digits than its factorization.

830784141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96506 (or 96500 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 830784141 is about 28823.3263347588. The cubic root of 830784141 is about 940.0754960489.

The spelling of 830784141 in words is "eight hundred thirty million, seven hundred eighty-four thousand, one hundred forty-one".