527312 has 10 divisors (see below), whose sum is σ = 1021698. Its totient is φ = 263648.

The previous prime is 527291. The next prime is 527327. The reversal of 527312 is 213725.

It can be written as a sum of positive squares in only one way, i.e., 524176 + 3136 = 724^2 + 56^2 .

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

527312 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16463 + ... + 16494.

2⁵²⁷³¹² is an apocalyptic number.

It is an amenable number.

527312 is a deficient number, since it is larger than the sum of its proper divisors (494386).

527312 is a wasteful number, since it uses less digits than its factorization.

527312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32965 (or 32959 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 527312 is about 726.1625162455. The cubic root of 527312 is about 80.7896794321.

The spelling of 527312 in words is "five hundred twenty-seven thousand, three hundred twelve".