6846949 has 2 divisors, whose sum is σ = 6846950. Its totient is φ = 6846948.

The previous prime is 6846947. The next prime is 6846967. The reversal of 6846949 is 9496486.

6846949 = T₂₁₃₅ + T₂₁₃₆ + T₂₁₃₇.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4334724 + 2512225 = 2082^2 + 1585^2 .

It is a cyclic number.

It is not a de Polignac number, because 6846949 - 2¹ = 6846947 is a prime.

Together with 6846947, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 6846899 and 6846908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6846941) 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, 3423474 + 3423475.

It is an arithmetic number, because the mean of its divisors is an integer number (3423475).

Almost surely, 2^6846949 is an apocalyptic number.

6846949 is the 2137-th centered triangular number.

It is an amenable number.

6846949 is a deficient number, since it is larger than the sum of its proper divisors (1).

6846949 is an equidigital number, since it uses as much as digits as its factorization.

6846949 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 373248, while the sum is 46.

The square root of 6846949 is about 2616.6675371548. The cubic root of 6846949 is about 189.8886605299. Note that the first 3 decimals are identical.

The spelling of 6846949 in words is "six million, eight hundred forty-six thousand, nine hundred forty-nine".