165607 has 4 divisors (see below), whose sum is σ = 178360. Its totient is φ = 152856.

The previous prime is 165601. The next prime is 165611. The reversal of 165607 is 706561.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 165607 - 2⁷ = 165479 is a prime.

It is a d-powerful number, because it can be written as 1 + 6⁴ + 6⁶ + 5 + 0 + 7⁶ .

165607 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165601) 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, 6357 + ... + 6382.

It is an arithmetic number, because the mean of its divisors is an integer number (44590).

2¹⁶⁵⁶⁰⁷ is an apocalyptic number.

165607 is a deficient number, since it is larger than the sum of its proper divisors (12753).

165607 is a wasteful number, since it uses less digits than its factorization.

165607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12752.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 165607 is about 406.9483996774. The cubic root of 165607 is about 54.9152413492.

The spelling of 165607 in words is "one hundred sixty-five thousand, six hundred seven".