165817129 has 9 divisors (see below), whose sum is σ = 168979293. Its totient is φ = 162713772.

The previous prime is 165817117. The next prime is 165817153. The reversal of 165817129 is 921718561.

It is a happy number.

The square root of 165817129 is 12877.

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

It is not a de Polignac number, because 165817129 - 2⁹ = 165816617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 165817091 and 165817100.

It is not an unprimeable number, because it can be changed into a prime (165818129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1017202 + ... + 1017364.

It is an arithmetic number, because the mean of its divisors is an integer number (18775477).

Almost surely, 2^165817129 is an apocalyptic number.

165817129 is the 12877-th square number.

165817129 is the 6439-th centered octagonal number.

It is an amenable number.

165817129 is a deficient number, since it is larger than the sum of its proper divisors (3162164).

165817129 is an frugal number, since it uses more digits than its factorization.

165817129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 242 counting only the distinct ones).

The product of its digits is 30240, while the sum is 40.

The cubic root of 165817129 is about 549.3845777461.

The spelling of 165817129 in words is "one hundred sixty-five million, eight hundred seventeen thousand, one hundred twenty-nine".