10735601 has 2 divisors, whose sum is σ = 10735602. Its totient is φ = 10735600.

The previous prime is 10735591. The next prime is 10735603. The reversal of 10735601 is 10653701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7845601 + 2890000 = 2801^2 + 1700^2 .

It is a cyclic number.

It is not a de Polignac number, because 10735601 - 2¹⁴ = 10719217 is a prime.

Together with 10735603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10735603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5367800 + 5367801.

It is an arithmetic number, because the mean of its divisors is an integer number (5367801).

Almost surely, 2^10735601 is an apocalyptic number.

It is an amenable number.

10735601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10735601 is an equidigital number, since it uses as much as digits as its factorization.

10735601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 10735601 is about 3276.5226994483. The cubic root of 10735601 is about 220.6016657102.

The spelling of 10735601 in words is "ten million, seven hundred thirty-five thousand, six hundred one".