329019933 has 12 divisors (see below), whose sum is σ = 482200544. Its totient is φ = 199405800.

The previous prime is 329019883. The next prime is 329019967. The reversal of 329019933 is 339910923.

It is not a de Polignac number, because 329019933 - 2¹⁰ = 329018909 is a prime.

It is a super-4 number, since 4×329019933⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 329019891 and 329019900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329019973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 452833 + ... + 453558.

Almost surely, 2^329019933 is an apocalyptic number.

329019933 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

329019933 is a deficient number, since it is larger than the sum of its proper divisors (153180611).

329019933 is a wasteful number, since it uses less digits than its factorization.

329019933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906416 (or 906405 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 39.

The square root of 329019933 is about 18138.9066098263. The cubic root of 329019933 is about 690.3575357715.

The spelling of 329019933 in words is "three hundred twenty-nine million, nineteen thousand, nine hundred thirty-three".