814164 has 48 divisors (see below), whose sum is σ = 2173248. Its totient is φ = 235008.

The previous prime is 814139. The next prime is 814171. The reversal of 814164 is 461418.

It is an Ulam number.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2499 + ... + 2805.

It is an arithmetic number, because the mean of its divisors is an integer number (45276).

2⁸¹⁴¹⁶⁴ 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 814164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086624).

814164 is an abundant number, since it is smaller than the sum of its proper divisors (1359084).

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

814164 is a wasteful number, since it uses less digits than its factorization.

814164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 342 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 814164 is about 902.3103678890. The cubic root of 814164 is about 93.3764370067.

The spelling of 814164 in words is "eight hundred fourteen thousand, one hundred sixty-four".