10335937 has 2 divisors, whose sum is σ = 10335938. Its totient is φ = 10335936.

The previous prime is 10335931. The next prime is 10335959. The reversal of 10335937 is 73953301.

It is the 1313-rd star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6170256 + 4165681 = 2484^2 + 2041^2 .

It is a cyclic number.

It is not a de Polignac number, because 10335937 - 2¹⁵ = 10303169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10335899 and 10335908.

It is not a weakly prime, because it can be changed into another prime (10335931) 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, 5167968 + 5167969.

It is an arithmetic number, because the mean of its divisors is an integer number (5167969).

Almost surely, 2^10335937 is an apocalyptic number.

It is an amenable number.

10335937 is a deficient number, since it is larger than the sum of its proper divisors (1).

10335937 is an equidigital number, since it uses as much as digits as its factorization.

10335937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8505, while the sum is 31.

The square root of 10335937 is about 3214.9552096413. The cubic root of 10335937 is about 217.8294614961.

It can be divided in two parts, 103359 and 37, that multiplied together give a palindrome (3824283).

The spelling of 10335937 in words is "ten million, three hundred thirty-five thousand, nine hundred thirty-seven".