261836849 has 2 divisors, whose sum is σ = 261836850. Its totient is φ = 261836848.

The previous prime is 261836833. The next prime is 261836851. The reversal of 261836849 is 948638162.

261836849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 149328400 + 112508449 = 12220^2 + 10607^2 .

It is a cyclic number.

It is not a de Polignac number, because 261836849 - 2⁴ = 261836833 is a prime.

Together with 261836851, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 11.

It is not a weakly prime, because it can be changed into another prime (261836879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130918424 + 130918425.

It is an arithmetic number, because the mean of its divisors is an integer number (130918425).

Almost surely, 2^261836849 is an apocalyptic number.

It is an amenable number.

261836849 is a deficient number, since it is larger than the sum of its proper divisors (1).

261836849 is an equidigital number, since it uses as much as digits as its factorization.

261836849 is an evil number, because the sum of its binary digits is even.

The product of its digits is 497664, while the sum is 47.

The square root of 261836849 is about 16181.3735201929. The cubic root of 261836849 is about 639.7499421876.

The spelling of 261836849 in words is "two hundred sixty-one million, eight hundred thirty-six thousand, eight hundred forty-nine".