165122500 has 45 divisors (see below), whose sum is σ = 362500369. Its totient is φ = 65792000.

The previous prime is 165122473. The next prime is 165122509. The reversal of 165122500 is 5221561.

The square root of 165122500 is 12850.

It is a perfect power (a square), and thus also a powerful number.

165122500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 26071236 + 139051264 = 5106^2 + 11792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165122509) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 642372 + ... + 642628.

Almost surely, 2^165122500 is an apocalyptic number.

165122500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165122500 is the 12850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165122500

165122500 is an abundant number, since it is smaller than the sum of its proper divisors (197377869).

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

165122500 is an frugal number, since it uses more digits than its factorization.

165122500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The cubic root of 165122500 is about 548.6163567777.

The spelling of 165122500 in words is "one hundred sixty-five million, one hundred twenty-two thousand, five hundred".