712321 has 2 divisors, whose sum is σ = 712322. Its totient is φ = 712320.

The previous prime is 712319. The next prime is 712331. The reversal of 712321 is 123217.

It is a happy number.

712321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 497025 + 215296 = 705^2 + 464^2 .

It is an emirp because it is prime and its reverse (123217) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 712321 - 2¹ = 712319 is a prime.

Together with 712319, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 712295 and 712304.

It is not a weakly prime, because it can be changed into another prime (712301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356160 + 356161.

It is an arithmetic number, because the mean of its divisors is an integer number (356161).

2⁷¹²³²¹ is an apocalyptic number.

It is an amenable number.

712321 is a deficient number, since it is larger than the sum of its proper divisors (1).

712321 is an equidigital number, since it uses as much as digits as its factorization.

712321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 84, while the sum is 16.

The square root of 712321 is about 843.9911136973. The cubic root of 712321 is about 89.3083192137.

Adding to 712321 its reverse (123217), we get a palindrome (835538).

The spelling of 712321 in words is "seven hundred twelve thousand, three hundred twenty-one", and thus it is an iban number.