712611 has 8 divisors (see below), whose sum is σ = 1055760. Its totient is φ = 475056.

The previous prime is 712603. The next prime is 712631. The reversal of 712611 is 116217.

Added to its reverse (116217) it gives a triangular number (828828 = T₁₂₈₇).

It is not a de Polignac number, because 712611 - 2³ = 712603 is a prime.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 712611.

It is not an unprimeable number, because it can be changed into a prime (712601) 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 in 7 ways as a sum of consecutive naturals, for example, 13170 + ... + 13223.

It is an arithmetic number, because the mean of its divisors is an integer number (131970).

2⁷¹²⁶¹¹ is an apocalyptic number.

712611 is a deficient number, since it is larger than the sum of its proper divisors (343149).

712611 is a wasteful number, since it uses less digits than its factorization.

712611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26402 (or 26396 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 712611 is about 844.1628989715. The cubic root of 712611 is about 89.3204372984.

Adding to 712611 its reverse (116217), we get a palindrome (828828).

The spelling of 712611 in words is "seven hundred twelve thousand, six hundred eleven".