813528 has 24 divisors (see below), whose sum is σ = 2203500. Its totient is φ = 271152.

The previous prime is 813511. The next prime is 813529. The reversal of 813528 is 825318.

It is a happy number.

813528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813529) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5578 + ... + 5721.

2⁸¹³⁵²⁸ is an apocalyptic number.

It is an amenable number.

813528 is an abundant number, since it is smaller than the sum of its proper divisors (1389972).

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

813528 is a wasteful number, since it uses less digits than its factorization.

813528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11311 (or 11304 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 813528 is about 901.9578704130. The cubic root of 813528 is about 93.3521164011.

The spelling of 813528 in words is "eight hundred thirteen thousand, five hundred twenty-eight".