161837984 has 108 divisors (see below), whose sum is σ = 407872962. Its totient is φ = 62979840.

The previous prime is 161837969. The next prime is 161837987. The reversal of 161837984 is 489738161.

It can be written as a sum of positive squares in only one way, i.e., 159466384 + 2371600 = 12628^2 + 1540^2 .

It is not an unprimeable number, because it can be changed into a prime (161837987) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 189302 + ... + 190154.

Almost surely, 2^161837984 is an apocalyptic number.

161837984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161837984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203936481).

161837984 is an abundant number, since it is smaller than the sum of its proper divisors (246034978).

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

161837984 is a wasteful number, since it uses less digits than its factorization.

161837984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 873 counting only the distinct ones).

The product of its digits is 290304, while the sum is 47.

The square root of 161837984 is about 12721.5558796870. Note that the first 3 decimals coincide. The cubic root of 161837984 is about 544.9543872272.

The spelling of 161837984 in words is "one hundred sixty-one million, eight hundred thirty-seven thousand, nine hundred eighty-four".