812532 has 48 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 218112.

The previous prime is 812527. The next prime is 812587. The reversal of 812532 is 235218.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 812499 and 812508.

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 812532.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1144 + ... + 1712.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

2⁸¹²⁵³² 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 812532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

812532 is an abundant number, since it is smaller than the sum of its proper divisors (1485708).

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

812532 is a wasteful number, since it uses less digits than its factorization.

812532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 598 counting only the distinct ones).

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

The square root of 812532 is about 901.4055690975. The cubic root of 812532 is about 93.3140039337.

The spelling of 812532 in words is "eight hundred twelve thousand, five hundred thirty-two".