8007 has 8 divisors (see below), whose sum is σ = 11376. Its totient is φ = 4992.

The previous prime is 7993. The next prime is 8009. The reversal of 8007 is 7008.

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

It is not a de Polignac number, because 8007 - 2⁷ = 7879 is a prime.

It is a super-2 number, since 2×8007² = 128224098, which contains 22 as substring.

8007 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8009) 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, 28 + ... + 129.

It is an arithmetic number, because the mean of its divisors is an integer number (1422).

2⁸⁰⁰⁷ is an apocalyptic number.

8007 is a deficient number, since it is larger than the sum of its proper divisors (3369).

8007 is a wasteful number, since it uses less digits than its factorization.

8007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177.

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 8007 is about 89.4818417334. The cubic root of 8007 is about 20.0058316328.

Subtracting from 8007 its reverse (7008), we obtain a palindrome (999).

The spelling of 8007 in words is "eight thousand, seven".