610657 has 6 divisors (see below), whose sum is σ = 648998. Its totient is φ = 574464.

The previous prime is 610651. The next prime is 610661. The reversal of 610657 is 756016.

It can be written as a sum of positive squares in 3 ways, for example, as 57121 + 553536 = 239^2 + 744^2 .

It is not a de Polignac number, because 610657 - 2¹¹ = 608609 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 768 + ... + 1345.

2⁶¹⁰⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

610657 is a deficient number, since it is larger than the sum of its proper divisors (38341).

610657 is a wasteful number, since it uses less digits than its factorization.

610657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 610657 is about 781.4454555502. The cubic root of 610657 is about 84.8396978751.

The spelling of 610657 in words is "six hundred ten thousand, six hundred fifty-seven".