523972 has 12 divisors (see below), whose sum is σ = 948780. Its totient is φ = 252896.

The previous prime is 523969. The next prime is 523987. The reversal of 523972 is 279325.

It can be written as a sum of positive squares in 2 ways, for example, as 93636 + 430336 = 306^2 + 656^2 .

It is a d-powerful number, because it can be written as 5⁸ + 2¹⁶ + 9² + 3⁷ + 7 + 2¹⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 523972.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2143 + ... + 2374.

It is an arithmetic number, because the mean of its divisors is an integer number (79065).

2⁵²³⁹⁷² is an apocalyptic number.

It is an amenable number.

523972 is a deficient number, since it is larger than the sum of its proper divisors (424808).

523972 is a wasteful number, since it uses less digits than its factorization.

523972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550 (or 4548 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 523972 is about 723.8591023120. The cubic root of 523972 is about 80.6187437807.

The spelling of 523972 in words is "five hundred twenty-three thousand, nine hundred seventy-two".