813384 has 96 divisors (see below), whose sum is σ = 2620800. Its totient is φ = 224640.

The previous prime is 813383. The next prime is 813401. The reversal of 813384 is 483318.

813384 = 10³ + 11³ + ... + 42³.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (813383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10257 + ... + 10335.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2⁸¹³³⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310400).

813384 is an abundant number, since it is smaller than the sum of its proper divisors (1807416).

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

813384 is a wasteful number, since it uses less digits than its factorization.

813384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 108 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 813384 is about 901.8780405354. The cubic root of 813384 is about 93.3466080892.

The spelling of 813384 in words is "eight hundred thirteen thousand, three hundred eighty-four".