712601 has 2 divisors, whose sum is σ = 712602. Its totient is φ = 712600.

The previous prime is 712573. The next prime is 712603. The reversal of 712601 is 106217.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 697225 + 15376 = 835^2 + 124^2 .

It is an emirp because it is prime and its reverse (106217) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 712601 - 2¹⁰ = 711577 is a prime.

Together with 712603, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 712601.

It is not a weakly prime, because it can be changed into another prime (712603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356300 + 356301.

It is an arithmetic number, because the mean of its divisors is an integer number (356301).

2⁷¹²⁶⁰¹ is an apocalyptic number.

It is an amenable number.

712601 is a deficient number, since it is larger than the sum of its proper divisors (1).

712601 is an equidigital number, since it uses as much as digits as its factorization.

712601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 712601 is about 844.1569759233. The cubic root of 712601 is about 89.3200194881.

Adding to 712601 its reverse (106217), we get a palindrome (818818).

The spelling of 712601 in words is "seven hundred twelve thousand, six hundred one".