830319 has 16 divisors (see below), whose sum is σ = 1332480. Its totient is φ = 449280.

The previous prime is 830311. The next prime is 830327. The reversal of 830319 is 913038.

830319 = 237² + 238² + ... + 250².

It is an interprime number because it is at equal distance from previous prime (830311) and next prime (830327).

It is not a de Polignac number, because 830319 - 2³ = 830311 is a prime.

It is a super-2 number, since 2×830319² = 1378859283522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830311) 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 15 ways as a sum of consecutive naturals, for example, 642 + ... + 1439.

It is an arithmetic number, because the mean of its divisors is an integer number (83280).

2⁸³⁰³¹⁹ is an apocalyptic number.

830319 is a deficient number, since it is larger than the sum of its proper divisors (502161).

830319 is a wasteful number, since it uses less digits than its factorization.

830319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 830319 is about 911.2184150905. The cubic root of 830319 is about 93.9900019546.

The spelling of 830319 in words is "eight hundred thirty thousand, three hundred nineteen".