523761 has 16 divisors (see below), whose sum is σ = 816000. Its totient is φ = 298704.

The previous prime is 523759. The next prime is 523763. The reversal of 523761 is 167325.

It is an interprime number because it is at equal distance from previous prime (523759) and next prime (523763).

It is not a de Polignac number, because 523761 - 2¹ = 523759 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

523761 is a lucky number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (523763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775 + ... + 1283.

It is an arithmetic number, because the mean of its divisors is an integer number (51000).

2⁵²³⁷⁶¹ is an apocalyptic number.

It is an amenable number.

523761 is a deficient number, since it is larger than the sum of its proper divisors (292239).

523761 is an equidigital number, since it uses as much as digits as its factorization.

523761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 519 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 523761 is about 723.7133410405. The cubic root of 523761 is about 80.6079207859.

The spelling of 523761 in words is "five hundred twenty-three thousand, seven hundred sixty-one".