527956 has 36 divisors (see below), whose sum is σ = 1106784. Its totient is φ = 218400.

The previous prime is 527941. The next prime is 527981. The reversal of 527956 is 659725.

527956 is nontrivially palindromic in base 5.

It is a congruent number.

It is an unprimeable number.

527956 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 in 11 ways as a sum of consecutive naturals, for example, 7401 + ... + 7471.

It is an arithmetic number, because the mean of its divisors is an integer number (30744).

2⁵²⁷⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

527956 is an abundant number, since it is smaller than the sum of its proper divisors (578828).

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

527956 is a wasteful number, since it uses less digits than its factorization.

527956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 97 counting only the distinct ones).

The product of its digits is 18900, while the sum is 34.

The square root of 527956 is about 726.6058078491. The cubic root of 527956 is about 80.8225552167.

Subtracting 527956 from its reverse (659725), we obtain a square (131769 = 363²).

It can be divided in two parts, 5279 and 56, that added together give a palindrome (5335).

The spelling of 527956 in words is "five hundred twenty-seven thousand, nine hundred fifty-six".