830907 has 36 divisors (see below), whose sum is σ = 1521520. Its totient is φ = 427680.

The previous prime is 830899. The next prime is 830911. The reversal of 830907 is 709038.

830907 = 23³ + 24³ + ... + 43³.

It is a happy number.

It is not a de Polignac number, because 830907 - 2³ = 830899 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (830957) 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 35 ways as a sum of consecutive naturals, for example, 7569 + ... + 7677.

2⁸³⁰⁹⁰⁷ is an apocalyptic number.

830907 is a deficient number, since it is larger than the sum of its proper divisors (690613).

830907 is a wasteful number, since it uses less digits than its factorization.

830907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 830907 is about 911.5410029176. The cubic root of 830907 is about 94.0121834216.

The spelling of 830907 in words is "eight hundred thirty thousand, nine hundred seven".