165986850 has 96 divisors (see below), whose sum is σ = 437472000. Its totient is φ = 41532480.

The previous prime is 165986839. The next prime is 165986851. The reversal of 165986850 is 58689561.

It is a self number, because there is not a number n which added to its sum of digits gives 165986850.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165986851) by changing a digit.

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, 395941 + ... + 396359.

It is an arithmetic number, because the mean of its divisors is an integer number (4557000).

Almost surely, 2^165986850 is an apocalyptic number.

165986850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165986850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218736000).

165986850 is an abundant number, since it is smaller than the sum of its proper divisors (271485150).

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

165986850 is a wasteful number, since it uses less digits than its factorization.

165986850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 165986850 is about 12883.5883976476. The cubic root of 165986850 is about 549.5719534535.

The spelling of 165986850 in words is "one hundred sixty-five million, nine hundred eighty-six thousand, eight hundred fifty".