814105332 has 72 divisors (see below), whose sum is σ = 2155608000. Its totient is φ = 258572160.

The previous prime is 814105321. The next prime is 814105337. The reversal of 814105332 is 233501418.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 814105296 and 814105305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814105337) 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, 230919 + ... + 234417.

It is an arithmetic number, because the mean of its divisors is an integer number (29939000).

Almost surely, 2^814105332 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 814105332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077804000).

814105332 is an abundant number, since it is smaller than the sum of its proper divisors (1341502668).

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

814105332 is a wasteful number, since it uses less digits than its factorization.

814105332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3813 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 814105332 is about 28532.5311180063. The cubic root of 814105332 is about 933.7419407594.

The spelling of 814105332 in words is "eight hundred fourteen million, one hundred five thousand, three hundred thirty-two".