165805350 has 48 divisors (see below), whose sum is σ = 415010640. Its totient is φ = 43804800.

The previous prime is 165805327. The next prime is 165805351. The reversal of 165805350 is 53508561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165805351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11280 + ... + 21420.

It is an arithmetic number, because the mean of its divisors is an integer number (8646055).

Almost surely, 2^165805350 is an apocalyptic number.

165805350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165805350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207505320).

165805350 is an abundant number, since it is smaller than the sum of its proper divisors (249205290).

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

165805350 is a wasteful number, since it uses less digits than its factorization.

165805350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10265 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 165805350 is about 12876.5426260313. The cubic root of 165805350 is about 549.3715687278.

The spelling of 165805350 in words is "one hundred sixty-five million, eight hundred five thousand, three hundred fifty".