813552 has 40 divisors (see below), whose sum is σ = 2227536. Its totient is φ = 254976.

The previous prime is 813541. The next prime is 813559. The reversal of 813552 is 255318.

813552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 813552.

It is not an unprimeable number, because it can be changed into a prime (813559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318 + ... + 1314.

2⁸¹³⁵⁵² 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 813552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113768).

813552 is an abundant number, since it is smaller than the sum of its proper divisors (1413984).

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

813552 is a wasteful number, since it uses less digits than its factorization.

813552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1019 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 813552 is about 901.9711747057. The cubic root of 813552 is about 93.3530343899.

The spelling of 813552 in words is "eight hundred thirteen thousand, five hundred fifty-two".