820525 has 12 divisors (see below), whose sum is σ = 1062432. Its totient is φ = 627440.

The previous prime is 820489. The next prime is 820537. The reversal of 820525 is 525028.

It is not a de Polignac number, because 820525 - 2¹⁵ = 787757 is a prime.

It is a super-2 number, since 2×820525² = 1346522551250, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 820496 and 820505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139 + ... + 1288.

It is an arithmetic number, because the mean of its divisors is an integer number (88536).

2⁸²⁰⁵²⁵ is an apocalyptic number.

It is an amenable number.

820525 is a deficient number, since it is larger than the sum of its proper divisors (241907).

820525 is a wasteful number, since it uses less digits than its factorization.

820525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 820525 is about 905.8283501856. The cubic root of 820525 is about 93.6189873697.

The spelling of 820525 in words is "eight hundred twenty thousand, five hundred twenty-five".