• There are 611 squares with distict digits, from 0² = 0 to 99066² = 9814072356.

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611 has 4 divisors (see below), whose sum is σ = 672. Its totient is φ = 552.

The previous prime is 607. The next prime is 613. The reversal of 611 is 116.

611 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 611 - 2² = 607 is a prime.

It is a Duffinian number.

611 is a modest number, since divided by 11 gives 6 as remainder.

It is a plaindrome in base 6 and base 15.

It is a nialpdrome in base 5 and base 10.

It is not an unprimeable number, because it can be changed into a prime (613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11 + ... + 36.

It is an arithmetic number, because the mean of its divisors is an integer number (168).

611 is a deficient number, since it is larger than the sum of its proper divisors (61).

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

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

The sum of its prime factors is 60.

The product of its digits is 6, while the sum is 8.

The square root of 611 is about 24.7184141886. The cubic root of 611 is about 8.4855579442.

Adding to 611 its reverse (116), we get a palindrome (727).

Multiplying 611 by its reverse (116), we get a triangular number (70876 = T₃₇₆).

It can be divided in two parts, 6 and 11, that multiplied together give a palindrome (66).

The spelling of 611 in words is "six hundred eleven", and thus it is an aban number and an oban number.