8002113 has 16 divisors (see below), whose sum is σ = 12343296. Its totient is φ = 4516560.

The previous prime is 8002103. The next prime is 8002117. The reversal of 8002113 is 3112008.

It is a happy number.

It is not a de Polignac number, because 8002113 - 2⁸ = 8001857 is a prime.

It is an Ulam number.

8002113 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8002092 and 8002101.

It is not an unprimeable number, because it can be changed into a prime (8002117) 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, 553 + ... + 4038.

It is an arithmetic number, because the mean of its divisors is an integer number (771456).

Almost surely, 2^8002113 is an apocalyptic number.

8002113 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

8002113 is a deficient number, since it is larger than the sum of its proper divisors (4341183).

8002113 is a wasteful number, since it uses less digits than its factorization.

8002113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4684.

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

The square root of 8002113 is about 2828.8006292420. The cubic root of 8002113 is about 200.0176067833.

The spelling of 8002113 in words is "eight million, two thousand, one hundred thirteen".