165834396 has 144 divisors (see below), whose sum is σ = 520525824. Its totient is φ = 43348608.

The previous prime is 165834349. The next prime is 165834419. The reversal of 165834396 is 693438561.

Its product of digits (466560) is a multiple of the sum of its prime factors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730435 + ... + 730661.

Almost surely, 2^165834396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165834396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260262912).

165834396 is an abundant number, since it is smaller than the sum of its proper divisors (354691428).

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

165834396 is a wasteful number, since it uses less digits than its factorization.

165834396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 475 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 165834396 is about 12877.6704415046. The cubic root of 165834396 is about 549.4036467335.

The spelling of 165834396 in words is "one hundred sixty-five million, eight hundred thirty-four thousand, three hundred ninety-six".