10057985 has 24 divisors (see below), whose sum is σ = 14291496. Its totient is φ = 6773760.

The previous prime is 10057967. The next prime is 10057987. The reversal of 10057985 is 58975001.

It can be written as a sum of positive squares in 4 ways, for example, as 47089 + 10010896 = 217^2 + 3164^2 .

It is not a de Polignac number, because 10057985 - 2⁶ = 10057921 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14609 + ... + 15281.

It is an arithmetic number, because the mean of its divisors is an integer number (595479).

Almost surely, 2^10057985 is an apocalyptic number.

It is an amenable number.

10057985 is a deficient number, since it is larger than the sum of its proper divisors (4233511).

10057985 is an equidigital number, since it uses as much as digits as its factorization.

10057985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 35.

The square root of 10057985 is about 3171.4326415675. The cubic root of 10057985 is about 215.8590830410.

It can be divided in two parts, 100 and 57985, that added together give a palindrome (58085).

The spelling of 10057985 in words is "ten million, fifty-seven thousand, nine hundred eighty-five".