527264 has 12 divisors (see below), whose sum is σ = 1038114. Its totient is φ = 263616.

The previous prime is 527251. The next prime is 527273. The reversal of 527264 is 462725.

It can be written as a sum of positive squares in only one way, i.e., 478864 + 48400 = 692^2 + 220^2 .

It is an unprimeable number.

527264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8207 + ... + 8270.

2⁵²⁷²⁶⁴ is an apocalyptic number.

It is an amenable number.

527264 is a deficient number, since it is larger than the sum of its proper divisors (510850).

527264 is a wasteful number, since it uses less digits than its factorization.

527264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16487 (or 16479 counting only the distinct ones).

The product of its digits is 3360, while the sum is 26.

The square root of 527264 is about 726.1294650405. The cubic root of 527264 is about 80.7872279914.

Adding to 527264 its reverse (462725), we get a palindrome (989989).

It can be divided in two parts, 527 and 264, that multiplied together give a triangular number (139128 = T₅₂₇).

The spelling of 527264 in words is "five hundred twenty-seven thousand, two hundred sixty-four".