820113 has 16 divisors (see below), whose sum is σ = 1276800. Its totient is φ = 468048.

The previous prime is 820109. The next prime is 820117. The reversal of 820113 is 311028.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (820109) and next prime (820117).

It is not a de Polignac number, because 820113 - 2² = 820109 is a prime.

820113 is a lucky number.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 820092 and 820101.

It is not an unprimeable number, because it can be changed into a prime (820117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631 + ... + 1427.

It is an arithmetic number, because the mean of its divisors is an integer number (79800).

2⁸²⁰¹¹³ is an apocalyptic number.

It is an amenable number.

820113 is a deficient number, since it is larger than the sum of its proper divisors (456687).

820113 is an equidigital number, since it uses as much as digits as its factorization.

820113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 820113 is about 905.6009054766. The cubic root of 820113 is about 93.6033155009.

The spelling of 820113 in words is "eight hundred twenty thousand, one hundred thirteen".