10527985 has 8 divisors (see below), whose sum is σ = 13605480. Its totient is φ = 7774464.

The previous prime is 10527971. The next prime is 10527989. The reversal of 10527985 is 58972501.

10527985 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 10491121 = 192^2 + 3239^2 .

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 10527985 - 2¹¹ = 10525937 is a prime.

It is a super-2 number, since 2×10527985² = 221676936320450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10527989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80920 + ... + 81049.

It is an arithmetic number, because the mean of its divisors is an integer number (1700685).

Almost surely, 2^10527985 is an apocalyptic number.

It is an amenable number.

10527985 is a deficient number, since it is larger than the sum of its proper divisors (3077495).

10527985 is a wasteful number, since it uses less digits than its factorization.

10527985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161987.

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 10527985 is about 3244.6856550366. The cubic root of 10527985 is about 219.1703254380.

The spelling of 10527985 in words is "ten million, five hundred twenty-seven thousand, nine hundred eighty-five".