712109 has 2 divisors, whose sum is σ = 712110. Its totient is φ = 712108.

The previous prime is 712093. The next prime is 712121. The reversal of 712109 is 901217.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 697225 + 14884 = 835^2 + 122^2 .

It is a cyclic number.

It is not a de Polignac number, because 712109 - 2⁴ = 712093 is a prime.

It is a super-3 number, since 3×712109³ = 1083329772201333087, which contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (712169) 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, 356054 + 356055.

It is an arithmetic number, because the mean of its divisors is an integer number (356055).

2⁷¹²¹⁰⁹ is an apocalyptic number.

It is an amenable number.

712109 is a deficient number, since it is larger than the sum of its proper divisors (1).

712109 is an equidigital number, since it uses as much as digits as its factorization.

712109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 712109 is about 843.8655106117. The cubic root of 712109 is about 89.2994583947.

The spelling of 712109 in words is "seven hundred twelve thousand, one hundred nine".