611257 has 2 divisors, whose sum is σ = 611258. Its totient is φ = 611256.

The previous prime is 611213. The next prime is 611263. The reversal of 611257 is 752116.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 609961 + 1296 = 781^2 + 36^2 .

It is a cyclic number.

It is not a de Polignac number, because 611257 - 2¹¹ = 609209 is a prime.

611257 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (611207) 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 as a sum of consecutive naturals, namely, 305628 + 305629.

It is an arithmetic number, because the mean of its divisors is an integer number (305629).

2⁶¹¹²⁵⁷ is an apocalyptic number.

It is an amenable number.

611257 is a deficient number, since it is larger than the sum of its proper divisors (1).

611257 is an equidigital number, since it uses as much as digits as its factorization.

611257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 420, while the sum is 22.

The square root of 611257 is about 781.8292652491. The cubic root of 611257 is about 84.8674751467.

It can be divided in two parts, 611 and 257, that added together give a palindrome (868).

The spelling of 611257 in words is "six hundred eleven thousand, two hundred fifty-seven".