10037985 has 16 divisors (see below), whose sum is σ = 16906560. Its totient is φ = 5071680.

The previous prime is 10037971. The next prime is 10037987. The reversal of 10037985 is 58973001.

It is not a de Polignac number, because 10037985 - 2⁴ = 10037969 is a prime.

It is a super-2 number, since 2×10037985² = 201522285720450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10037987) 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 15 ways as a sum of consecutive naturals, for example, 17326 + ... + 17895.

It is an arithmetic number, because the mean of its divisors is an integer number (1056660).

Almost surely, 2^10037985 is an apocalyptic number.

10037985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10037985 is a deficient number, since it is larger than the sum of its proper divisors (6868575).

10037985 is a wasteful number, since it uses less digits than its factorization.

10037985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35248.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 10037985 is about 3168.2779234152. The cubic root of 10037985 is about 215.7159116750.

The spelling of 10037985 in words is "ten million, thirty-seven thousand, nine hundred eighty-five".