329952131 has 8 divisors (see below), whose sum is σ = 337023600. Its totient is φ = 322930080.

The previous prime is 329952121. The next prime is 329952137. The reversal of 329952131 is 131259923.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 329952131 - 2¹⁰ = 329951107 is a prime.

It is a super-2 number, since 2×329952131² = 217736817502882322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 329952091 and 329952100.

It is not an unprimeable number, because it can be changed into a prime (329952137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1301 + ... + 25721.

It is an arithmetic number, because the mean of its divisors is an integer number (42127950).

Almost surely, 2^329952131 is an apocalyptic number.

329952131 is a deficient number, since it is larger than the sum of its proper divisors (7071469).

329952131 is a wasteful number, since it uses less digits than its factorization.

329952131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24709.

The product of its digits is 14580, while the sum is 35.

The square root of 329952131 is about 18164.5845259395. The cubic root of 329952131 is about 691.0089077440.

The spelling of 329952131 in words is "three hundred twenty-nine million, nine hundred fifty-two thousand, one hundred thirty-one".