141984 has 72 divisors (see below), whose sum is σ = 442260. Its totient is φ = 43008.

The previous prime is 141971. The next prime is 141991. The reversal of 141984 is 489141.

141984 = T₃₂ + T₃₃ + ... + T₉₅.

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 3600 = 372^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 141984.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4882 + ... + 4910.

2¹⁴¹⁹⁸⁴ 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 141984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221130).

141984 is an abundant number, since it is smaller than the sum of its proper divisors (300276).

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

141984 is a wasteful number, since it uses less digits than its factorization.

141984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 51 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 141984 is about 376.8076432346. The cubic root of 141984 is about 52.1690749137.

The spelling of 141984 in words is "one hundred forty-one thousand, nine hundred eighty-four".