611657 has 2 divisors, whose sum is σ = 611658. Its totient is φ = 611656.

The previous prime is 611641. The next prime is 611671. The reversal of 611657 is 756116.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 546121 + 65536 = 739^2 + 256^2 .

It is a cyclic number.

It is not a de Polignac number, because 611657 - 2⁴ = 611641 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 611657.

It is not a weakly prime, because it can be changed into another prime (611057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 305828 + 305829.

It is an arithmetic number, because the mean of its divisors is an integer number (305829).

2⁶¹¹⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

611657 is a deficient number, since it is larger than the sum of its proper divisors (1).

611657 is an equidigital number, since it uses as much as digits as its factorization.

611657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1260, while the sum is 26.

The square root of 611657 is about 782.0850337399. The cubic root of 611657 is about 84.8859832308.

The spelling of 611657 in words is "six hundred eleven thousand, six hundred fifty-seven".