814100 has 36 divisors (see below), whose sum is σ = 2020704. Its totient is φ = 278880.

The previous prime is 814097. The next prime is 814127. The reversal of 814100 is 1418.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 11 ways as a sum of consecutive naturals, for example, 119 + ... + 1281.

2⁸¹⁴¹⁰⁰ 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 814100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010352).

814100 is an abundant number, since it is smaller than the sum of its proper divisors (1206604).

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

814100 is a wasteful number, since it uses less digits than its factorization.

814100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 814100 is about 902.2749026766. The cubic root of 814100 is about 93.3739902234.

Adding to 814100 its reverse (1418), we get a palindrome (815518).

The spelling of 814100 in words is "eight hundred fourteen thousand, one hundred".