165748842 has 96 divisors (see below), whose sum is σ = 431488512. Its totient is φ = 46706544.

The previous prime is 165748831. The next prime is 165748853. The reversal of 165748842 is 248847561.

165748842 is a `hidden beast` number, since 165 + 7 + 488 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (165748831) and next prime (165748853).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282073 + ... + 282659.

It is an arithmetic number, because the mean of its divisors is an integer number (4494672).

Almost surely, 2^165748842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165748842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215744256).

165748842 is an abundant number, since it is smaller than the sum of its proper divisors (265739670).

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

165748842 is an equidigital number, since it uses as much as digits as its factorization.

165748842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 682 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 165748842 is about 12874.3482165118. The cubic root of 165748842 is about 549.3091513290.

The spelling of 165748842 in words is "one hundred sixty-five million, seven hundred forty-eight thousand, eight hundred forty-two".