10527 has 12 divisors (see below), whose sum is σ = 15960. Its totient is φ = 6160.

The previous prime is 10513. The next prime is 10529. The reversal of 10527 is 72501.

Added to its reverse (72501) it gives a triangular number (83028 = T₄₀₇).

It is a happy number.

It is not a de Polignac number, because 10527 - 2⁶ = 10463 is a prime.

It is a super-2 number, since 2×10527² = 221635458, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (1330).

2¹⁰⁵²⁷ is an apocalyptic number.

10527 is a deficient number, since it is larger than the sum of its proper divisors (5433).

10527 is a wasteful number, since it uses less digits than its factorization.

10527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 10527 is about 102.6011695840. The cubic root of 10527 is about 21.9163490021.

Adding to 10527 its reverse (72501), we get a triangular number (83028 = T₄₀₇).

The spelling of 10527 in words is "ten thousand, five hundred twenty-seven".