813204 has 54 divisors (see below), whose sum is σ = 2396394. Its totient is φ = 231840.

The previous prime is 813203. The next prime is 813209. The reversal of 813204 is 402318.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 636804 + 176400 = 798^2 + 420^2 .

It is a super-2 number, since 2×813204² = 1322601491232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1534 + ... + 1994.

2⁸¹³²⁰⁴ is an apocalyptic number.

813204 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198197).

813204 is an abundant number, since it is smaller than the sum of its proper divisors (1583190).

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

813204 is a wasteful number, since it uses less digits than its factorization.

813204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 813204 is about 901.7782432505. The cubic root of 813204 is about 93.3397217849.

The spelling of 813204 in words is "eight hundred thirteen thousand, two hundred four".