823217406 has 64 divisors (see below), whose sum is σ = 1836656640. Its totient is φ = 243894240.

The previous prime is 823217399. The next prime is 823217419. The reversal of 823217406 is 604712328.

823217406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563505 + ... + 564963.

It is an arithmetic number, because the mean of its divisors is an integer number (28697760).

Almost surely, 2^823217406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823217406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918328320).

823217406 is an abundant number, since it is smaller than the sum of its proper divisors (1013439234).

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

823217406 is a wasteful number, since it uses less digits than its factorization.

823217406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 823217406 is about 28691.7654737383. The cubic root of 823217406 is about 937.2127355957.

The spelling of 823217406 in words is "eight hundred twenty-three million, two hundred seventeen thousand, four hundred six".