10082761 has 8 divisors (see below), whose sum is σ = 11123784. Its totient is φ = 9079680.

The previous prime is 10082753. The next prime is 10082771. The reversal of 10082761 is 16728001.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 10017225 = 256^2 + 3165^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10082761 - 2³ = 10082753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10082731) 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 7 ways as a sum of consecutive naturals, for example, 8926 + ... + 9991.

It is an arithmetic number, because the mean of its divisors is an integer number (1390473).

Almost surely, 2^10082761 is an apocalyptic number.

It is an amenable number.

10082761 is a deficient number, since it is larger than the sum of its proper divisors (1041023).

10082761 is a wasteful number, since it uses less digits than its factorization.

10082761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18971.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 10082761 is about 3175.3363601357. The cubic root of 10082761 is about 216.0361807820.

The spelling of 10082761 in words is "ten million, eighty-two thousand, seven hundred sixty-one".