820107 has 12 divisors (see below), whose sum is σ = 1192464. Its totient is φ = 543120.

The previous prime is 820093. The next prime is 820109. The reversal of 820107 is 701028.

It is not a de Polignac number, because 820107 - 2¹⁰ = 819083 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820107.

It is not an unprimeable number, because it can be changed into a prime (820109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2482 + ... + 2792.

It is an arithmetic number, because the mean of its divisors is an integer number (99372).

2⁸²⁰¹⁰⁷ is an apocalyptic number.

820107 is a deficient number, since it is larger than the sum of its proper divisors (372357).

820107 is a wasteful number, since it uses less digits than its factorization.

820107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 820107 is about 905.5975927530. The cubic root of 820107 is about 93.6030872311.

The spelling of 820107 in words is "eight hundred twenty thousand, one hundred seven".