165117 has 8 divisors (see below), whose sum is σ = 229824. Its totient is φ = 105248.

The previous prime is 165103. The next prime is 165133. The reversal of 165117 is 711561.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 165117 - 2¹⁰ = 164093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 165093 and 165102.

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 165117.

It is not an unprimeable number, because it can be changed into a prime (165317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1128 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2¹⁶⁵¹¹⁷ is an apocalyptic number.

It is an amenable number.

165117 is a deficient number, since it is larger than the sum of its proper divisors (64707).

165117 is a wasteful number, since it uses less digits than its factorization.

165117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419.

The product of its digits is 210, while the sum is 21.

The square root of 165117 is about 406.3459117550. The cubic root of 165117 is about 54.8610265495.

Adding to 165117 its reverse (711561), we get a palindrome (876678).

It can be divided in two parts, 165 and 117, that added together give a palindrome (282).

The spelling of 165117 in words is "one hundred sixty-five thousand, one hundred seventeen".