327713000 has 64 divisors (see below), whose sum is σ = 785650320. Its totient is φ = 127872000.

The previous prime is 327712981. The next prime is 327713011. The reversal of 327713000 is 317723.

It can be written as a sum of positive squares in 8 ways, for example, as 37283236 + 290429764 = 6106^2 + 17042^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37004 + ... + 44996.

Almost surely, 2^327713000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327713000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392825160).

327713000 is an abundant number, since it is smaller than the sum of its proper divisors (457937320).

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

327713000 is a wasteful number, since it uses less digits than its factorization.

327713000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8055 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 23.

The square root of 327713000 is about 18102.8450802629. The cubic root of 327713000 is about 689.4422433747.

The spelling of 327713000 in words is "three hundred twenty-seven million, seven hundred thirteen thousand".