610585897 has 2 divisors, whose sum is σ = 610585898. Its totient is φ = 610585896.

The previous prime is 610585873. The next prime is 610585903. The reversal of 610585897 is 798585016.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307686681 + 302899216 = 17541^2 + 17404^2 .

It is a cyclic number.

It is not a de Polignac number, because 610585897 - 2¹⁵ = 610553129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 610585897.

It is not a weakly prime, because it can be changed into another prime (610585397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 305292948 + 305292949.

It is an arithmetic number, because the mean of its divisors is an integer number (305292949).

Almost surely, 2^610585897 is an apocalyptic number.

It is an amenable number.

610585897 is a deficient number, since it is larger than the sum of its proper divisors (1).

610585897 is an equidigital number, since it uses as much as digits as its factorization.

610585897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 604800, while the sum is 49.

The square root of 610585897 is about 24710.0363617701. The cubic root of 610585897 is about 848.3640492385.

It can be divided in two parts, 61058589 and 7, that added together give a square (61058596 = 7814²).

The spelling of 610585897 in words is "six hundred ten million, five hundred eighty-five thousand, eight hundred ninety-seven".