823830 has 32 divisors (see below), whose sum is σ = 2260224. Its totient is φ = 188256.

The previous prime is 823829. The next prime is 823831. The reversal of 823830 is 38328.

It is an interprime number because it is at equal distance from previous prime (823829) and next prime (823831).

It is a self number, because there is not a number n which added to its sum of digits gives 823830.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 823830.

It is not an unprimeable number, because it can be changed into a prime (823831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1752 + ... + 2171.

It is an arithmetic number, because the mean of its divisors is an integer number (70632).

2⁸²³⁸³⁰ is an apocalyptic number.

823830 is an abundant number, since it is smaller than the sum of its proper divisors (1436394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

823830 is a wasteful number, since it uses less digits than its factorization.

823830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 823830 is about 907.6508139147. The cubic root of 823830 is about 93.7445152347.

It can be divided in two parts, 823 and 830, that added together give a triangular number (1653 = T₅₇).

The spelling of 823830 in words is "eight hundred twenty-three thousand, eight hundred thirty".