165222309 has 64 divisors (see below), whose sum is σ = 278784000. Its totient is φ = 84913920.

The previous prime is 165222293. The next prime is 165222311. The reversal of 165222309 is 903222561.

It is not a de Polignac number, because 165222309 - 2⁴ = 165222293 is a prime.

It is a super-2 number, since 2×165222309² = 54596822782582962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165222319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1261174 + ... + 1261304.

It is an arithmetic number, because the mean of its divisors is an integer number (4356000).

Almost surely, 2^165222309 is an apocalyptic number.

165222309 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

165222309 is a deficient number, since it is larger than the sum of its proper divisors (113561691).

165222309 is a wasteful number, since it uses less digits than its factorization.

165222309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 165222309 is about 12853.8830319869. The cubic root of 165222309 is about 548.7268723465.

The spelling of 165222309 in words is "one hundred sixty-five million, two hundred twenty-two thousand, three hundred nine".