820526 has 32 divisors (see below), whose sum is σ = 1520640. Its totient is φ = 324576.

The previous prime is 820489. The next prime is 820537. The reversal of 820526 is 625028.

820526 = 154² + 155² + ... + 182².

It is a happy number.

It is a Curzon number.

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 820526.

It is an unprimeable number.

820526 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17435 + ... + 17481.

It is an arithmetic number, because the mean of its divisors is an integer number (47520).

2⁸²⁰⁵²⁶ is an apocalyptic number.

820526 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

820526 is a deficient number, since it is larger than the sum of its proper divisors (700114).

820526 is a wasteful number, since it uses less digits than its factorization.

820526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 820526 is about 905.8289021664. The cubic root of 820526 is about 93.6190254018.

The spelling of 820526 in words is "eight hundred twenty thousand, five hundred twenty-six".