830413 has 2 divisors, whose sum is σ = 830414. Its totient is φ = 830412.

The previous prime is 830411. The next prime is 830419. The reversal of 830413 is 314038.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 736164 + 94249 = 858^2 + 307^2 .

It is a cyclic number.

It is not a de Polignac number, because 830413 - 2¹ = 830411 is a prime.

Together with 830411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (830411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 415206 + 415207.

It is an arithmetic number, because the mean of its divisors is an integer number (415207).

2⁸³⁰⁴¹³ is an apocalyptic number.

It is an amenable number.

830413 is a deficient number, since it is larger than the sum of its proper divisors (1).

830413 is an equidigital number, since it uses as much as digits as its factorization.

830413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 830413 is about 911.2699929220. The cubic root of 830413 is about 93.9935486745.

The spelling of 830413 in words is "eight hundred thirty thousand, four hundred thirteen".