711312 has 80 divisors (see below), whose sum is σ = 2202240. Its totient is φ = 193536.

The previous prime is 711307. The next prime is 711317. The reversal of 711312 is 213117.

It is an interprime number because it is at equal distance from previous prime (711307) and next prime (711317).

It is a super-2 number, since 2×711312² = 1011929522688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 711291 and 711300.

It is not an unprimeable number, because it can be changed into a prime (711317) by changing a digit.

711312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9708 + ... + 9780.

It is an arithmetic number, because the mean of its divisors is an integer number (27528).

2⁷¹¹³¹² 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 711312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101120).

711312 is an abundant number, since it is smaller than the sum of its proper divisors (1490928).

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

711312 is a wasteful number, since it uses less digits than its factorization.

711312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its digits is 42, while the sum is 15.

The square root of 711312 is about 843.3931467590. The cubic root of 711312 is about 89.2661309889.

Adding to 711312 its reverse (213117), we get a palindrome (924429).

The spelling of 711312 in words is "seven hundred eleven thousand, three hundred twelve", and thus it is an iban number.