165984845 has 16 divisors (see below), whose sum is σ = 217448112. Its totient is φ = 120890880.

The previous prime is 165984827. The next prime is 165984887. The reversal of 165984845 is 548489561.

It can be written as a sum of positive squares in 8 ways, for example, as 6568969 + 159415876 = 2563^2 + 12626^2 .

It is not a de Polignac number, because 165984845 - 2¹⁴ = 165968461 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 165984793 and 165984802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12746 + ... + 22235.

It is an arithmetic number, because the mean of its divisors is an integer number (13590507).

Almost surely, 2^165984845 is an apocalyptic number.

It is an amenable number.

165984845 is a deficient number, since it is larger than the sum of its proper divisors (51463267).

165984845 is a wasteful number, since it uses less digits than its factorization.

165984845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35072.

The product of its digits is 1382400, while the sum is 50.

The square root of 165984845 is about 12883.5105852403. The cubic root of 165984845 is about 549.5697406353.

The spelling of 165984845 in words is "one hundred sixty-five million, nine hundred eighty-four thousand, eight hundred forty-five".