10735649 has 2 divisors, whose sum is σ = 10735650. Its totient is φ = 10735648.

The previous prime is 10735633. The next prime is 10735651. The reversal of 10735649 is 94653701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10336225 + 399424 = 3215^2 + 632^2 .

It is an emirp because it is prime and its reverse (94653701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10735649 - 2⁴ = 10735633 is a prime.

It is a Sophie Germain prime.

Together with 10735651, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10735679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5367824 + 5367825.

It is an arithmetic number, because the mean of its divisors is an integer number (5367825).

Almost surely, 2^10735649 is an apocalyptic number.

It is an amenable number.

10735649 is a deficient number, since it is larger than the sum of its proper divisors (1).

10735649 is an equidigital number, since it uses as much as digits as its factorization.

10735649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 10735649 is about 3276.5300242787. The cubic root of 10735649 is about 220.6019944875.

The spelling of 10735649 in words is "ten million, seven hundred thirty-five thousand, six hundred forty-nine".