820393 has 8 divisors (see below), whose sum is σ = 943488. Its totient is φ = 698784.

The previous prime is 820367. The next prime is 820399. The reversal of 820393 is 393028.

It is a happy number.

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 820393 - 2⁵ = 820361 is a prime.

820393 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (820399) 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, 1380 + ... + 1882.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

2⁸²⁰³⁹³ is an apocalyptic number.

It is an amenable number.

820393 is a deficient number, since it is larger than the sum of its proper divisors (123095).

820393 is a wasteful number, since it uses less digits than its factorization.

820393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 820393 is about 905.7554857686. The cubic root of 820393 is about 93.6139668568.

The spelling of 820393 in words is "eight hundred twenty thousand, three hundred ninety-three".