1007 has 4 divisors (see below), whose sum is σ = 1080. Its totient is φ = 936.

The previous prime is 997. The next prime is 1009. The reversal of 1007 is 7001.

1007 is nontrivially palindromic in base 4.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 1007 - 2⁴ = 991 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9, base 12 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 985 and 1003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8 + ... + 45.

It is an arithmetic number, because the mean of its divisors is an integer number (270).

1007 is a deficient number, since it is larger than the sum of its proper divisors (73).

1007 is an equidigital number, since it uses as much as digits as its factorization.

1007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72.

The product of its (nonzero) digits is 7, while the sum is 8.

The square root of 1007 is about 31.7332633052. The cubic root of 1007 is about 10.0232790996.

Adding to 1007 its reverse (7001), we get a palindrome (8008).

The spelling of 1007 in words is "one thousand, seven", and thus it is an iban number.