610849 has 2 divisors, whose sum is σ = 610850. Its totient is φ = 610848.

The previous prime is 610847. The next prime is 610867. The reversal of 610849 is 948016.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 589824 + 21025 = 768^2 + 145^2 .

It is a cyclic number.

It is not a de Polignac number, because 610849 - 2¹ = 610847 is a prime.

It is a super-3 number, since 3×610849³ = 683790175133370147, which contains 333 as substring.

Together with 610847, it forms a pair of twin primes.

It is a Chen prime.

610849 is a lucky number.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (610843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 305424 + 305425.

It is an arithmetic number, because the mean of its divisors is an integer number (305425).

2⁶¹⁰⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

610849 is a deficient number, since it is larger than the sum of its proper divisors (1).

610849 is an equidigital number, since it uses as much as digits as its factorization.

610849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 610849 is about 781.5682951604. The cubic root of 610849 is about 84.8485885808.

The spelling of 610849 in words is "six hundred ten thousand, eight hundred forty-nine".