329953 has 8 divisors (see below), whose sum is σ = 376488. Its totient is φ = 286464.

The previous prime is 329951. The next prime is 329957. The reversal of 329953 is 359923.

It can be written as a sum of positive squares in 4 ways, for example, as 91809 + 238144 = 303^2 + 488^2 .

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 329953 - 2¹ = 329951 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329951) 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 7 ways as a sum of consecutive naturals, for example, 526 + ... + 967.

It is an arithmetic number, because the mean of its divisors is an integer number (47061).

2³²⁹⁹⁵³ is an apocalyptic number.

It is an amenable number.

329953 is a deficient number, since it is larger than the sum of its proper divisors (46535).

329953 is a wasteful number, since it uses less digits than its factorization.

329953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523.

The product of its digits is 7290, while the sum is 31.

The square root of 329953 is about 574.4153549480. The cubic root of 329953 is about 69.1009514384.

The spelling of 329953 in words is "three hundred twenty-nine thousand, nine hundred fifty-three".