167607 has 12 divisors (see below), whose sum is σ = 264264. Its totient is φ = 101520.

The previous prime is 167597. The next prime is 167611. The reversal of 167607 is 706761.

It is not a de Polignac number, because 167607 - 2⁶ = 167543 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 167607.

It is not an unprimeable number, because it can be changed into a prime (167627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 748 + ... + 945.

It is an arithmetic number, because the mean of its divisors is an integer number (22022).

2¹⁶⁷⁶⁰⁷ is an apocalyptic number.

167607 is a deficient number, since it is larger than the sum of its proper divisors (96657).

167607 is a wasteful number, since it uses less digits than its factorization.

167607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 167607 is about 409.3983390294. The cubic root of 167607 is about 55.1354238544.

The spelling of 167607 in words is "one hundred sixty-seven thousand, six hundred seven".