825303 has 8 divisors (see below), whose sum is σ = 1158400. Its totient is φ = 521208.

The previous prime is 825301. The next prime is 825329. The reversal of 825303 is 303528.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 825303 - 2¹ = 825301 is a prime.

It is a super-2 number, since 2×825303² = 1362250083618, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 825303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7183 + ... + 7296.

It is an arithmetic number, because the mean of its divisors is an integer number (144800).

2⁸²⁵³⁰³ is an apocalyptic number.

825303 is a deficient number, since it is larger than the sum of its proper divisors (333097).

825303 is a wasteful number, since it uses less digits than its factorization.

825303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14501.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 825303 is about 908.4618869276. The cubic root of 825303 is about 93.8003533946.

It can be divided in two parts, 825 and 303, that added together give a triangular number (1128 = T₄₇).

The spelling of 825303 in words is "eight hundred twenty-five thousand, three hundred three".