162001984 has 63 divisors (see below), whose sum is σ = 338258277. Its totient is φ = 76978944.

The previous prime is 162001969. The next prime is 162002003. The reversal of 162001984 is 489100261.

It is a happy number.

The square root of 162001984 is 12728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 144961600 + 17040384 = 12040^2 + 4128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3767467 + ... + 3767509.

It is an arithmetic number, because the mean of its divisors is an integer number (5369179).

Almost surely, 2^162001984 is an apocalyptic number.

162001984 is the 12728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162001984

162001984 is an abundant number, since it is smaller than the sum of its proper divisors (176256293).

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

162001984 is an frugal number, since it uses more digits than its factorization.

162001984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The cubic root of 162001984 is about 545.1384032524.

The spelling of 162001984 in words is "one hundred sixty-two million, one thousand, nine hundred eighty-four".