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3007 = 3197

3007 has 4 divisors (see below), whose sum is σ = 3136. Its totient is φ = 2880.

The previous prime is 3001. The next prime is 3011. The reversal of 3007 is 7003.

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, and also an emirpimes, since its reverse is a distinct semiprime: 7003 = 47149.

It is a cyclic number.

It is not a de Polignac number, because 3007 - 23 = 2999 is a prime.

It is a Duffinian number.

3007 is a lucky number.

It is a plaindrome in base 8, base 14 and base 16.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 2984 and 3002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001) 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, 18 + ... + 79.

It is an arithmetic number, because the mean of its divisors is an integer number (784).

23007 is an apocalyptic number.

3007 is a deficient number, since it is larger than the sum of its proper divisors (129).

3007 is an equidigital number, since it uses as much as digits as its factorization.

3007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 21, while the sum is 10.

The square root of 3007 is about 54.8361194834. The cubic root of 3007 is about 14.4337044863.

The spelling of 3007 in words is "three thousand, seven", and thus it is an iban number.

Divisors: 1 31 97 3007