10285137 has 40 divisors (see below), whose sum is σ = 16668960. Its totient is φ = 6298560.

The previous prime is 10285109. The next prime is 10285139. The reversal of 10285137 is 73158201.

It is not a de Polignac number, because 10285137 - 2⁶ = 10285073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10285137.

It is not an unprimeable number, because it can be changed into a prime (10285139) 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 39 ways as a sum of consecutive naturals, for example, 63018 + ... + 63180.

It is an arithmetic number, because the mean of its divisors is an integer number (416724).

Almost surely, 2^10285137 is an apocalyptic number.

It is an amenable number.

10285137 is a deficient number, since it is larger than the sum of its proper divisors (6383823).

10285137 is a wasteful number, since it uses less digits than its factorization.

10285137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10285137 is about 3207.0449014630. The cubic root of 10285137 is about 217.4720059096.

The spelling of 10285137 in words is "ten million, two hundred eighty-five thousand, one hundred thirty-seven".