10712529 has 9 divisors (see below), whose sum is σ = 15487849. Its totient is φ = 7135140.

The previous prime is 10712501. The next prime is 10712543. The reversal of 10712529 is 92521701.

The square root of 10712529 is 3273.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10712529 - 2⁵ = 10712497 is a prime.

It is a super-2 number, since 2×10712529² = 229516555151682, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10712579) 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 8 ways as a sum of consecutive naturals, for example, 9274 + ... + 10364.

Almost surely, 2^10712529 is an apocalyptic number.

10712529 is the 3273-rd square number.

10712529 is the 1637-th centered octagonal number.

It is an amenable number.

10712529 is a deficient number, since it is larger than the sum of its proper divisors (4775320).

10712529 is an frugal number, since it uses more digits than its factorization.

10712529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The cubic root of 10712529 is about 220.4435198639.

It can be divided in two parts, 1071 and 2529, that added together give a square (3600 = 60²).

The spelling of 10712529 in words is "ten million, seven hundred twelve thousand, five hundred twenty-nine".