830705 has 16 divisors (see below), whose sum is σ = 1095120. Its totient is φ = 602112.

The previous prime is 830693. The next prime is 830719. The reversal of 830705 is 507038.

830705 = 90² + 91² + ... + 147².

It can be written as a sum of positive squares in 8 ways, for example, as 784 + 829921 = 28^2 + 911^2 .

It is a cyclic number.

It is not a de Polignac number, because 830705 - 2⁸ = 830449 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2297 + ... + 2633.

It is an arithmetic number, because the mean of its divisors is an integer number (68445).

2⁸³⁰⁷⁰⁵ is an apocalyptic number.

830705 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

830705 is a deficient number, since it is larger than the sum of its proper divisors (264415).

830705 is a wasteful number, since it uses less digits than its factorization.

830705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 830705 is about 911.4301948037. The cubic root of 830705 is about 94.0045644381.

The spelling of 830705 in words is "eight hundred thirty thousand, seven hundred five".