820123 has 8 divisors (see below), whose sum is σ = 853776. Its totient is φ = 787200.

The previous prime is 820117. The next prime is 820129. The reversal of 820123 is 321028.

It is a happy number.

820123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (820117) and next prime (820129).

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

It is not a de Polignac number, because 820123 - 2¹³ = 811931 is a prime.

It is a Duffinian number.

820123 is a modest number, since divided by 123 gives 82 as remainder.

820123 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 820097 and 820106.

It is not an unprimeable number, because it can be changed into a prime (820129) 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, 3283 + ... + 3523.

It is an arithmetic number, because the mean of its divisors is an integer number (106722).

2⁸²⁰¹²³ is an apocalyptic number.

820123 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

820123 is a deficient number, since it is larger than the sum of its proper divisors (33653).

820123 is a wasteful number, since it uses less digits than its factorization.

820123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 820123 is about 905.6064266556. The cubic root of 820123 is about 93.6036959482.

The spelling of 820123 in words is "eight hundred twenty thousand, one hundred twenty-three".