830827 has 2 divisors, whose sum is σ = 830828. Its totient is φ = 830826.

The previous prime is 830801. The next prime is 830833. The reversal of 830827 is 728038.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 830827 - 2¹⁵ = 798059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 830795 and 830804.

It is not a weakly prime, because it can be changed into another prime (830887) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 415413 + 415414.

It is an arithmetic number, because the mean of its divisors is an integer number (415414).

2⁸³⁰⁸²⁷ is an apocalyptic number.

830827 is a deficient number, since it is larger than the sum of its proper divisors (1).

830827 is an equidigital number, since it uses as much as digits as its factorization.

830827 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 830827 is about 911.4971201271. The cubic root of 830827 is about 94.0091661501.

The spelling of 830827 in words is "eight hundred thirty thousand, eight hundred twenty-seven".