1607 has 2 divisors, whose sum is σ = 1608. Its totient is φ = 1606.

The previous prime is 1601. The next prime is 1609. The reversal of 1607 is 7061.

It is a happy number.

1607 is nontrivially palindromic in base 12.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1607 - 2⁶ = 1543 is a prime.

Together with 1609, it forms a pair of twin primes.

It is a Chen prime.

1607 is an undulating number in base 12.

It is a plaindrome in base 6.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 1591 and 1600.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 803 + 804.

It is an arithmetic number, because the mean of its divisors is an integer number (804).

1607 is a deficient number, since it is larger than the sum of its proper divisors (1).

1607 is an equidigital number, since it uses as much as digits as its factorization.

1607 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 1607 is about 40.0874045057. The cubic root of 1607 is about 11.7131029088.

Adding to 1607 its reverse (7061), we get a palindrome (8668).

The spelling of 1607 in words is "one thousand, six hundred seven".