7007 has 12 divisors (see below), whose sum is σ = 9576. Its totient is φ = 5040.

The previous prime is 7001. The next prime is 7013.

7007 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (7001) and next prime (7013).

It is not a de Polignac number, because 7007 - 2⁴ = 6991 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6982 and 7000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7001) 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, 533 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (798).

7007 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

7007 is a deficient number, since it is larger than the sum of its proper divisors (2569).

7007 is a wasteful number, since it uses less digits than its factorization.

7007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 14.

The square root of 7007 is about 83.7078252017. The cubic root of 7007 is about 19.1356861407.

Adding to 7007 its sum of digits (14), we get a triangular number (7021 = T₁₁₈).

Adding to 7007 its product of nonzero digits (49), we get a square (7056 = 84²).

Multiplying 7007 by its product of nonzero digits (49), we get a palindrome (343343).

It can be divided in two parts, 700 and 7, that multiplied together give a square (4900 = 70²).

The spelling of 7007 in words is "seven thousand, seven", and thus it is an iban number.