329305095 has 96 divisors (see below), whose sum is σ = 698880000. Its totient is φ = 145566720.

The previous prime is 329305091. The next prime is 329305103. The reversal of 329305095 is 590503923.

It is not a de Polignac number, because 329305095 - 2² = 329305091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329305091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263031 + ... + 264279.

It is an arithmetic number, because the mean of its divisors is an integer number (7280000).

Almost surely, 2^329305095 is an apocalyptic number.

329305095 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

329305095 is an abundant number, since it is smaller than the sum of its proper divisors (369574905).

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

329305095 is a wasteful number, since it uses less digits than its factorization.

329305095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 329305095 is about 18146.7654142550. The cubic root of 329305095 is about 690.5569227683.

It can be divided in two parts, 32930 and 5095, that added together give a square (38025 = 195²).

The spelling of 329305095 in words is "three hundred twenty-nine million, three hundred five thousand, ninety-five".