825543 has 12 divisors (see below), whose sum is σ = 1233960. Its totient is φ = 531216.

The previous prime is 825533. The next prime is 825547. The reversal of 825543 is 345528.

825543 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825543 - 2⁴ = 825527 is a prime.

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825543.

It is not an unprimeable number, because it can be changed into a prime (825547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1321 + ... + 1842.

It is an arithmetic number, because the mean of its divisors is an integer number (102830).

2⁸²⁵⁵⁴³ is an apocalyptic number.

825543 is a deficient number, since it is larger than the sum of its proper divisors (408417).

825543 is a wasteful number, since it uses less digits than its factorization.

825543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3198 (or 3195 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 825543 is about 908.5939687231. The cubic root of 825543 is about 93.8094449659.

It can be divided in two parts, 82 and 5543, that added together give a square (5625 = 75²).

The spelling of 825543 in words is "eight hundred twenty-five thousand, five hundred forty-three".