712133 has 2 divisors, whose sum is σ = 712134. Its totient is φ = 712132.

The previous prime is 712121. The next prime is 712157. The reversal of 712133 is 331217.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 465124 + 247009 = 682^2 + 497^2 .

It is an emirp because it is prime and its reverse (331217) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 712133 - 2⁸ = 711877 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 712133.

It is not a weakly prime, because it can be changed into another prime (712183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356066 + 356067.

It is an arithmetic number, because the mean of its divisors is an integer number (356067).

2⁷¹²¹³³ is an apocalyptic number.

It is an amenable number.

712133 is a deficient number, since it is larger than the sum of its proper divisors (1).

712133 is an equidigital number, since it uses as much as digits as its factorization.

712133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 126, while the sum is 17.

The square root of 712133 is about 843.8797307674. The cubic root of 712133 is about 89.3004615945.

The spelling of 712133 in words is "seven hundred twelve thousand, one hundred thirty-three".