271713312 has 192 divisors, whose sum is σ = 904296960. Its totient is φ = 78630912.

The previous prime is 271713307. The next prime is 271713317. The reversal of 271713312 is 213317172.

It is an interprime number because it is at equal distance from previous prime (271713307) and next prime (271713317).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (271713317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190233 + ... + 191655.

It is an arithmetic number, because the mean of its divisors is an integer number (4709880).

Almost surely, 2^271713312 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 271713312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452148480).

271713312 is an abundant number, since it is smaller than the sum of its proper divisors (632583648).

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

271713312 is a wasteful number, since it uses less digits than its factorization.

271713312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1458 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 271713312 is about 16483.7287043921. The cubic root of 271713312 is about 647.6946435097.

The spelling of 271713312 in words is "two hundred seventy-one million, seven hundred thirteen thousand, three hundred twelve".