820493 has 8 divisors (see below), whose sum is σ = 849528. Its totient is φ = 792064.

The previous prime is 820489. The next prime is 820537. The reversal of 820493 is 394028.

It can be written as a sum of positive squares in 4 ways, for example, as 40804 + 779689 = 202^2 + 883^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 820493 - 2² = 820489 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

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 820493.

It is not an unprimeable number, because it can be changed into a prime (820093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5921 + ... + 6057.

It is an arithmetic number, because the mean of its divisors is an integer number (106191).

2⁸²⁰⁴⁹³ is an apocalyptic number.

It is an amenable number.

820493 is a deficient number, since it is larger than the sum of its proper divisors (29035).

820493 is a wasteful number, since it uses less digits than its factorization.

820493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 820493 is about 905.8106866228. The cubic root of 820493 is about 93.6177703251.

The spelling of 820493 in words is "eight hundred twenty thousand, four hundred ninety-three".