353984 has 14 divisors (see below), whose sum is σ = 702564. Its totient is φ = 176960.

The previous prime is 353963. The next prime is 354001. The reversal of 353984 is 489353.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 3² + 5 + 9 + 3¹⁰ + 8⁵ + 4⁹ .

It is a self number, because there is not a number n which added to its sum of digits gives 353984.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 353984.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2702 + ... + 2829.

2³⁵³⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

353984 is a deficient number, since it is larger than the sum of its proper divisors (348580).

353984 is an equidigital number, since it uses as much as digits as its factorization.

353984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543 (or 5533 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 353984 is about 594.9655452209. The cubic root of 353984 is about 70.7393737657.

The spelling of 353984 in words is "three hundred fifty-three thousand, nine hundred eighty-four".