165516 has 24 divisors (see below), whose sum is σ = 416304. Its totient is φ = 50880.

The previous prime is 165511. The next prime is 165523. The reversal of 165516 is 615561.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165516.

It is not an unprimeable number, because it can be changed into a prime (165511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (17346).

2¹⁶⁵⁵¹⁶ is an apocalyptic number.

It is an amenable number.

165516 is an abundant number, since it is smaller than the sum of its proper divisors (250788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165516 is a wasteful number, since it uses less digits than its factorization.

165516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1079 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 165516 is about 406.8365765267. The cubic root of 165516 is about 54.9051809803.

The spelling of 165516 in words is "one hundred sixty-five thousand, five hundred sixteen".