165805248 has 224 divisors, whose sum is σ = 543600640. Its totient is φ = 43545600.

The previous prime is 165805243. The next prime is 165805261. The reversal of 165805248 is 842508561.

165805248 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (165805243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097973 + ... + 1098123.

Almost surely, 2^165805248 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 165805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271800320).

165805248 is an abundant number, since it is smaller than the sum of its proper divisors (377795392).

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

165805248 is a wasteful number, since it uses less digits than its factorization.

165805248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 165805248 is about 12876.5386653402. The cubic root of 165805248 is about 549.3714560738.

The spelling of 165805248 in words is "one hundred sixty-five million, eight hundred five thousand, two hundred forty-eight".