713112 has 32 divisors (see below), whose sum is σ = 1826880. Its totient is φ = 231840.

The previous prime is 713107. The next prime is 713117. The reversal of 713112 is 211317.

It is an interprime number because it is at equal distance from previous prime (713107) and next prime (713117).

It is a junction number, because it is equal to n+sod(n) for n = 713091 and 713100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713117) by changing a digit.

713112 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 7 ways as a sum of consecutive naturals, for example, 687 + ... + 1377.

It is an arithmetic number, because the mean of its divisors is an integer number (57090).

2⁷¹³¹¹² 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 713112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913440).

713112 is an abundant number, since it is smaller than the sum of its proper divisors (1113768).

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

713112 is a wasteful number, since it uses less digits than its factorization.

713112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 739 counting only the distinct ones).

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

The square root of 713112 is about 844.4595905074. The cubic root of 713112 is about 89.3413645907.

Adding to 713112 its reverse (211317), we get a palindrome (924429).

The spelling of 713112 in words is "seven hundred thirteen thousand, one hundred twelve".