165909016 has 64 divisors (see below), whose sum is σ = 384552000. Its totient is φ = 65346048.

The previous prime is 165908987. The next prime is 165909019. The reversal of 165909016 is 610909561.

It is a super-3 number, since 3×165909016³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165909019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253746 + ... + 254398.

It is an arithmetic number, because the mean of its divisors is an integer number (6008625).

Almost surely, 2^165909016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165909016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192276000).

165909016 is an abundant number, since it is smaller than the sum of its proper divisors (218642984).

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

165909016 is a wasteful number, since it uses less digits than its factorization.

165909016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 37.

The square root of 165909016 is about 12880.5673788075. The cubic root of 165909016 is about 549.4860388742.

The spelling of 165909016 in words is "one hundred sixty-five million, nine hundred nine thousand, sixteen".