825563 has 4 divisors (see below), whose sum is σ = 827400. Its totient is φ = 823728.

The previous prime is 825553. The next prime is 825577. The reversal of 825563 is 365528.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 825563 - 2⁴ = 825547 is a prime.

It is a d-powerful number, because it can be written as 8³ + 2¹⁸ + 5⁶ + 5⁶ + 6³ + 3¹² .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825533) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 263 + ... + 1311.

It is an arithmetic number, because the mean of its divisors is an integer number (206850).

2⁸²⁵⁵⁶³ is an apocalyptic number.

825563 is a deficient number, since it is larger than the sum of its proper divisors (1837).

825563 is a wasteful number, since it uses less digits than its factorization.

825563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836.

The product of its digits is 7200, while the sum is 29.

The square root of 825563 is about 908.6049746727. The cubic root of 825563 is about 93.8102025173.

The spelling of 825563 in words is "eight hundred twenty-five thousand, five hundred sixty-three".