813100 has 36 divisors (see below), whose sum is σ = 1812384. Its totient is φ = 316480.

The previous prime is 813097. The next prime is 813107. The reversal of 813100 is 1318.

It is a super-2 number, since 2×813100² = 1322263220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (813107) by changing a digit.

It is a nontrivial repunit in base 93.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4614 + ... + 4786.

It is an arithmetic number, because the mean of its divisors is an integer number (50344).

2⁸¹³¹⁰⁰ 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 813100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906192).

813100 is an abundant number, since it is smaller than the sum of its proper divisors (999284).

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

813100 is a wasteful number, since it uses less digits than its factorization.

813100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 813100 is about 901.7205775627. The cubic root of 813100 is about 93.3357425682.

Adding to 813100 its reverse (1318), we get a palindrome (814418).

The spelling of 813100 in words is "eight hundred thirteen thousand, one hundred".