165282390 has 288 divisors, whose sum is σ = 570538080. Its totient is φ = 33747840.

The previous prime is 165282373. The next prime is 165282401. The reversal of 165282390 is 93282561.

It is a super-2 number, since 2×165282390² = 54636536888224200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5331675 + ... + 5331705.

It is an arithmetic number, because the mean of its divisors is an integer number (1981035).

Almost surely, 2^165282390 is an apocalyptic number.

165282390 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 165282390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285269040).

165282390 is an abundant number, since it is smaller than the sum of its proper divisors (405255690).

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

165282390 is a wasteful number, since it uses less digits than its factorization.

165282390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 165282390 is about 12856.2198954436. The cubic root of 165282390 is about 548.7933768116.

The spelling of 165282390 in words is "one hundred sixty-five million, two hundred eighty-two thousand, three hundred ninety".