612711 has 16 divisors (see below), whose sum is σ = 990720. Its totient is φ = 371160.

The previous prime is 612679. The next prime is 612713. The reversal of 612711 is 117216.

It is not a de Polignac number, because 612711 - 2⁵ = 612679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735 + ... + 1328.

It is an arithmetic number, because the mean of its divisors is an integer number (61920).

2⁶¹²⁷¹¹ is an apocalyptic number.

612711 is a deficient number, since it is larger than the sum of its proper divisors (378009).

612711 is a wasteful number, since it uses less digits than its factorization.

612711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2077 counting only the distinct ones).

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

The square root of 612711 is about 782.7585834726. The cubic root of 612711 is about 84.9347134202.

Adding to 612711 its reverse (117216), we get a palindrome (729927).

It can be divided in two parts, 61 and 2711, that added together give a palindrome (2772).

The spelling of 612711 in words is "six hundred twelve thousand, seven hundred eleven".