523963 has 16 divisors (see below), whose sum is σ = 633600. Its totient is φ = 427680.

The previous prime is 523949. The next prime is 523969. The reversal of 523963 is 369325.

It is not a de Polignac number, because 523963 - 2¹³ = 515771 is a prime.

Its product of digits (4860) is a multiple of the sum of its prime divisors (162).

523963 is a lucky number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (523969) 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, 4753 + ... + 4861.

It is an arithmetic number, because the mean of its divisors is an integer number (39600).

2⁵²³⁹⁶³ is an apocalyptic number.

523963 is a deficient number, since it is larger than the sum of its proper divisors (109637).

523963 is a wasteful number, since it uses less digits than its factorization.

523963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162.

The product of its digits is 4860, while the sum is 28.

The square root of 523963 is about 723.8528856059. The cubic root of 523963 is about 80.6182821957.

The spelling of 523963 in words is "five hundred twenty-three thousand, nine hundred sixty-three".