8320013 has 12 divisors (see below), whose sum is σ = 9291828. Its totient is φ = 7405440.

The previous prime is 8320001. The next prime is 8320033. The reversal of 8320013 is 3100238.

It can be written as a sum of positive squares in 6 ways, for example, as 2184484 + 6135529 = 1478^2 + 2477^2 .

It is not a de Polignac number, because 8320013 - 2⁸ = 8319757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8319973 and 8320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8320033) 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, 10553 + ... + 11313.

It is an arithmetic number, because the mean of its divisors is an integer number (774319).

Almost surely, 2^8320013 is an apocalyptic number.

It is an amenable number.

8320013 is a deficient number, since it is larger than the sum of its proper divisors (971815).

8320013 is a wasteful number, since it uses less digits than its factorization.

8320013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 8320013 is about 2884.4432738399. The cubic root of 8320013 is about 202.6319863014.

It can be divided in two parts, 83200 and 13, that multiplied together give a square (1081600 = 1040²).

The spelling of 8320013 in words is "eight million, three hundred twenty thousand, thirteen".