830401 has 8 divisors (see below), whose sum is σ = 975744. Its totient is φ = 696720.

The previous prime is 830387. The next prime is 830411. The reversal of 830401 is 104038.

830401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 830401 - 2¹⁵ = 797633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (830411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2761 + ... + 3046.

It is an arithmetic number, because the mean of its divisors is an integer number (121968).

2⁸³⁰⁴⁰¹ is an apocalyptic number.

It is an amenable number.

830401 is a deficient number, since it is larger than the sum of its proper divisors (145343).

830401 is a wasteful number, since it uses less digits than its factorization.

830401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5831.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 830401 is about 911.2634086805. The cubic root of 830401 is about 93.9930959166.

Adding to 830401 its reverse (104038), we get a palindrome (934439).

The spelling of 830401 in words is "eight hundred thirty thousand, four hundred one".