820693 has 4 divisors (see below), whose sum is σ = 823788. Its totient is φ = 817600.

The previous prime is 820691. The next prime is 820711. The reversal of 820693 is 396028.

820693 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 628849 + 191844 = 793^2 + 438^2 .

It is a cyclic number.

It is not a de Polignac number, because 820693 - 2¹ = 820691 is a prime.

It is a Duffinian number.

820693 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820691) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1108 + ... + 1693.

It is an arithmetic number, because the mean of its divisors is an integer number (205947).

2⁸²⁰⁶⁹³ is an apocalyptic number.

It is an amenable number.

820693 is a deficient number, since it is larger than the sum of its proper divisors (3095).

820693 is a wasteful number, since it uses less digits than its factorization.

820693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 820693 is about 905.9210782403. The cubic root of 820693 is about 93.6253763347.

The spelling of 820693 in words is "eight hundred twenty thousand, six hundred ninety-three".