10312137 has 16 divisors (see below), whose sum is σ = 16666560. Its totient is φ = 6249600.

The previous prime is 10312123. The next prime is 10312147. The reversal of 10312137 is 73121301.

It is not a de Polignac number, because 10312137 - 2⁴ = 10312121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10312147) 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 in 15 ways as a sum of consecutive naturals, for example, 17064 + ... + 17657.

It is an arithmetic number, because the mean of its divisors is an integer number (1041660).

Almost surely, 2^10312137 is an apocalyptic number.

It is an amenable number.

10312137 is a deficient number, since it is larger than the sum of its proper divisors (6354423).

10312137 is a wasteful number, since it uses less digits than its factorization.

10312137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34741 (or 34735 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 10312137 is about 3211.2516251456. The cubic root of 10312137 is about 217.6621383170.

Adding to 10312137 its reverse (73121301), we get a palindrome (83433438).

The spelling of 10312137 in words is "ten million, three hundred twelve thousand, one hundred thirty-seven".