327145500 has 192 divisors, whose sum is σ = 1155248640. Its totient is φ = 79272000.

The previous prime is 327145471. The next prime is 327145517. The reversal of 327145500 is 5541723.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147399 + ... + 149601.

It is an arithmetic number, because the mean of its divisors is an integer number (6016920).

Almost surely, 2^327145500 is an apocalyptic number.

327145500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327145500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577624320).

327145500 is an abundant number, since it is smaller than the sum of its proper divisors (828103140).

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

327145500 is a wasteful number, since it uses less digits than its factorization.

327145500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 327145500 is about 18087.1639567954. The cubic root of 327145500 is about 689.0440448109.

It can be divided in two parts, 327145 and 500, that added together give a triangular number (327645 = T₈₀₉).

The spelling of 327145500 in words is "three hundred twenty-seven million, one hundred forty-five thousand, five hundred".