823525 has 6 divisors (see below), whose sum is σ = 1021202. Its totient is φ = 658800.

The previous prime is 823519. The next prime is 823541. The reversal of 823525 is 525328.

It can be written as a sum of positive squares in 3 ways, for example, as 173889 + 649636 = 417^2 + 806^2 .

It is not a de Polignac number, because 823525 - 2⁹ = 823013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 32941 = 823525 / (8 + 2 + 3 + 5 + 2 + 5).

It is a Duffinian number.

823525 is a lucky number.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 823525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16446 + ... + 16495.

2⁸²³⁵²⁵ is an apocalyptic number.

It is an amenable number.

823525 is a deficient number, since it is larger than the sum of its proper divisors (197677).

823525 is a wasteful number, since it uses less digits than its factorization.

823525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32951 (or 32946 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 823525 is about 907.4827822058. The cubic root of 823525 is about 93.7329450457.

The spelling of 823525 in words is "eight hundred twenty-three thousand, five hundred twenty-five".