712693 has 2 divisors, whose sum is σ = 712694. Its totient is φ = 712692.

The previous prime is 712687. The next prime is 712697. The reversal of 712693 is 396217.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 459684 + 253009 = 678^2 + 503^2 .

It is an emirp because it is prime and its reverse (396217) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-712693 is a prime.

712693 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (712697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356346 + 356347.

It is an arithmetic number, because the mean of its divisors is an integer number (356347).

2⁷¹²⁶⁹³ is an apocalyptic number.

It is an amenable number.

712693 is a deficient number, since it is larger than the sum of its proper divisors (1).

712693 is an equidigital number, since it uses as much as digits as its factorization.

712693 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 28.

The square root of 712693 is about 844.2114663993. The cubic root of 712693 is about 89.3238631950.

The spelling of 712693 in words is "seven hundred twelve thousand, six hundred ninety-three".