10735137 has 24 divisors (see below), whose sum is σ = 17943744. Its totient is φ = 6057504.

The previous prime is 10735111. The next prime is 10735159. The reversal of 10735137 is 73153701.

10735137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10735137 - 2⁸ = 10734881 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10735137.

It is not an unprimeable number, because it can be changed into a prime (10735037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4203 + ... + 6255.

It is an arithmetic number, because the mean of its divisors is an integer number (747656).

Almost surely, 2^10735137 is an apocalyptic number.

It is an amenable number.

10735137 is a deficient number, since it is larger than the sum of its proper divisors (7208607).

10735137 is a wasteful number, since it uses less digits than its factorization.

10735137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 10735137 is about 3276.4518919099. The cubic root of 10735137 is about 220.5984874796.

Adding to 10735137 its reverse (73153701), we get a palindrome (83888838).

The spelling of 10735137 in words is "ten million, seven hundred thirty-five thousand, one hundred thirty-seven".