165082905 has 48 divisors (see below), whose sum is σ = 318130176. Its totient is φ = 78641280.

The previous prime is 165082901. The next prime is 165082909. The reversal of 165082905 is 509280561.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (165082901) and next prime (165082909).

It is not a de Polignac number, because 165082905 - 2² = 165082901 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 165082905.

It is not an unprimeable number, because it can be changed into a prime (165082901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13584 + ... + 22686.

It is an arithmetic number, because the mean of its divisors is an integer number (6627712).

Almost surely, 2^165082905 is an apocalyptic number.

165082905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165082905 is a deficient number, since it is larger than the sum of its proper divisors (153047271).

165082905 is a wasteful number, since it uses less digits than its factorization.

165082905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9158 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 165082905 is about 12848.4592461509. The cubic root of 165082905 is about 548.5725020615.

The spelling of 165082905 in words is "one hundred sixty-five million, eighty-two thousand, nine hundred five".