10085757 has 16 divisors (see below), whose sum is σ = 15144960. Its totient is φ = 5914800.

The previous prime is 10085737. The next prime is 10085771. The reversal of 10085757 is 75758001.

It is not a de Polignac number, because 10085757 - 2⁷ = 10085629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085717) 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, 3907 + ... + 5952.

It is an arithmetic number, because the mean of its divisors is an integer number (946560).

Almost surely, 2^10085757 is an apocalyptic number.

It is an amenable number.

10085757 is a deficient number, since it is larger than the sum of its proper divisors (5059203).

10085757 is a wasteful number, since it uses less digits than its factorization.

10085757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9904.

The product of its (nonzero) digits is 9800, while the sum is 33.

The square root of 10085757 is about 3175.8080861412. The cubic root of 10085757 is about 216.0575763865.

The spelling of 10085757 in words is "ten million, eighty-five thousand, seven hundred fifty-seven".