165935385 has 160 divisors (see below), whose sum is σ = 393921792. Its totient is φ = 64696320.

The previous prime is 165935383. The next prime is 165935389. The reversal of 165935385 is 583539561.

165935385 is a `hidden beast` number, since 1 + 6 + 593 + 53 + 8 + 5 = 666.

It is not a de Polignac number, because 165935385 - 2¹ = 165935383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 165935385.

It is not an unprimeable number, because it can be changed into a prime (165935383) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 529989 + ... + 530301.

Almost surely, 2^165935385 is an apocalyptic number.

165935385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165935385 is an abundant number, since it is smaller than the sum of its proper divisors (227986407).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165935385 is a wasteful number, since it uses less digits than its factorization.

165935385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 165935385 is about 12881.5909343528. The cubic root of 165935385 is about 549.5151484631.

It can be divided in two parts, 1 and 65935385, that added together give a triangular number (65935386 = T₁₁₄₈₃).

The spelling of 165935385 in words is "one hundred sixty-five million, nine hundred thirty-five thousand, three hundred eighty-five".