10082527 has 16 divisors (see below), whose sum is σ = 12543552. Its totient is φ = 7891200.

The previous prime is 10082509. The next prime is 10082539. The reversal of 10082527 is 72528001.

It is a cyclic number.

It is not a de Polignac number, because 10082527 - 2⁷ = 10082399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082557) 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, 8643 + ... + 9739.

It is an arithmetic number, because the mean of its divisors is an integer number (783972).

Almost surely, 2^10082527 is an apocalyptic number.

10082527 is a deficient number, since it is larger than the sum of its proper divisors (2461025).

10082527 is a wasteful number, since it uses less digits than its factorization.

10082527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218.

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 10082527 is about 3175.2995134318. The cubic root of 10082527 is about 216.0345095183.

It can be divided in two parts, 10082 and 527, that added together give a square (10609 = 103²).

The spelling of 10082527 in words is "ten million, eighty-two thousand, five hundred twenty-seven".