165616 has 20 divisors (see below), whose sum is σ = 350424. Its totient is φ = 75200.

The previous prime is 165611. The next prime is 165617. The reversal of 165616 is 616561.

165616 = T₁₆₈ + T₁₆₉ + ... + T₁₇₈.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165611) 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, 295 + ... + 646.

2¹⁶⁵⁶¹⁶ is an apocalyptic number.

165616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

165616 is an abundant number, since it is smaller than the sum of its proper divisors (184808).

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

165616 is a wasteful number, since it uses less digits than its factorization.

165616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 954 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 165616 is about 406.9594574402. The cubic root of 165616 is about 54.9162361305.

The spelling of 165616 in words is "one hundred sixty-five thousand, six hundred sixteen".