813522 has 16 divisors (see below), whose sum is σ = 1667232. Its totient is φ = 264480.

The previous prime is 813511. The next prime is 813529. The reversal of 813522 is 225318.

813522 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 813522.

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

813522 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1408 + ... + 1899.

It is an arithmetic number, because the mean of its divisors is an integer number (104202).

2⁸¹³⁵²² is an apocalyptic number.

813522 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

813522 is an abundant number, since it is smaller than the sum of its proper divisors (853710).

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

813522 is a wasteful number, since it uses less digits than its factorization.

813522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353.

The product of its digits is 480, while the sum is 21.

The square root of 813522 is about 901.9545443092. The cubic root of 813522 is about 93.3518869011.

It can be divided in two parts, 8 and 13522, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 813522 in words is "eight hundred thirteen thousand, five hundred twenty-two".