334984 has 16 divisors (see below), whose sum is σ = 676620. Its totient is φ = 154560.

The previous prime is 334973. The next prime is 334987. The reversal of 334984 is 489433.

It can be written as a sum of positive squares in 2 ways, for example, as 334084 + 900 = 578^2 + 30^2 .

It is a super-2 number, since 2×334984² = 224428560512, which contains 22 as substring.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 334984.

It is not an unprimeable number, because it can be changed into a prime (334987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1507 + ... + 1714.

2³³⁴⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

334984 is an abundant number, since it is smaller than the sum of its proper divisors (341636).

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

334984 is a wasteful number, since it uses less digits than its factorization.

334984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3236 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 334984 is about 578.7780230797. The cubic root of 334984 is about 69.4503898673.

Subtracting 334984 from its reverse (489433), we obtain a square (154449 = 393²).

The spelling of 334984 in words is "three hundred thirty-four thousand, nine hundred eighty-four".