165916413 has 24 divisors (see below), whose sum is σ = 273277368. Its totient is φ = 96095232.

The previous prime is 165916397. The next prime is 165916441. The reversal of 165916413 is 314619561.

165916413 is a `hidden beast` number, since 1 + 6 + 5 + 9 + 1 + 641 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1127844 + 164788569 = 1062^2 + 12837^2 .

It is not a de Polignac number, because 165916413 - 2⁴ = 165916397 is a prime.

It is a super-2 number, since 2×165916413² = 55056512205573138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165916013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39720 + ... + 43697.

It is an arithmetic number, because the mean of its divisors is an integer number (11386557).

Almost surely, 2^165916413 is an apocalyptic number.

165916413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

165916413 is a deficient number, since it is larger than the sum of its proper divisors (107360955).

165916413 is a wasteful number, since it uses less digits than its factorization.

165916413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83453 (or 83450 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 165916413 is about 12880.8545135794. The cubic root of 165916413 is about 549.4942049721.

The spelling of 165916413 in words is "one hundred sixty-five million, nine hundred sixteen thousand, four hundred thirteen".