527112 has 24 divisors (see below), whose sum is σ = 1427790. Its totient is φ = 175680.

The previous prime is 527099. The next prime is 527123. The reversal of 527112 is 211725.

527112 is nontrivially palindromic in base 11 and base 16.

It can be written as a sum of positive squares in only one way, i.e., 527076 + 36 = 726^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 11.

It is an unprimeable number.

527112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3589 + ... + 3732.

2⁵²⁷¹¹² is an apocalyptic number.

It is an amenable number.

527112 is an abundant number, since it is smaller than the sum of its proper divisors (900678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

527112 is a wasteful number, since it uses less digits than its factorization.

527112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7333 (or 7326 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 527112 is about 726.0247929651. The cubic root of 527112 is about 80.7794641142.

Adding to 527112 its reverse (211725), we get a palindrome (738837).

The spelling of 527112 in words is "five hundred twenty-seven thousand, one hundred twelve".