10289937 has 16 divisors (see below), whose sum is σ = 15784832. Its totient is φ = 5840640.

The previous prime is 10289911. The next prime is 10289941. The reversal of 10289937 is 73998201.

It is not a de Polignac number, because 10289937 - 2¹⁰ = 10288913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10289895 and 10289904.

It is not an unprimeable number, because it can be changed into a prime (10289957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1737 + ... + 4857.

It is an arithmetic number, because the mean of its divisors is an integer number (986552).

Almost surely, 2^10289937 is an apocalyptic number.

It is an amenable number.

10289937 is a deficient number, since it is larger than the sum of its proper divisors (5494895).

10289937 is a wasteful number, since it uses less digits than its factorization.

10289937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288.

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 10289937 is about 3207.7931666490. The cubic root of 10289937 is about 217.5058315255.

Adding to 10289937 its product of nonzero digits (27216), we get a triangular number (10317153 = T₄₅₄₂).

The spelling of 10289937 in words is "ten million, two hundred eighty-nine thousand, nine hundred thirty-seven".