10086957 has 16 divisors (see below), whose sum is σ = 15136000. Its totient is φ = 6638112.

The previous prime is 10086953. The next prime is 10086961. The reversal of 10086957 is 75968001.

It is an interprime number because it is at equal distance from previous prime (10086953) and next prime (10086961).

It is not a de Polignac number, because 10086957 - 2² = 10086953 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10086953) 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, 232 + ... + 4497.

It is an arithmetic number, because the mean of its divisors is an integer number (946000).

Almost surely, 2^10086957 is an apocalyptic number.

It is an amenable number.

10086957 is a deficient number, since it is larger than the sum of its proper divisors (5049043).

10086957 is an equidigital number, since it uses as much as digits as its factorization.

10086957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 10086957 is about 3175.9970088147. The cubic root of 10086957 is about 216.0661448661.

The spelling of 10086957 in words is "ten million, eighty-six thousand, nine hundred fifty-seven".