68523 has 16 divisors (see below), whose sum is σ = 112896. Its totient is φ = 36000.

The previous prime is 68521. The next prime is 68531. The reversal of 68523 is 32586.

It is not a de Polignac number, because 68523 - 2¹ = 68521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 68493 and 68502.

It is not an unprimeable number, because it can be changed into a prime (68521) 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, 148 + ... + 398.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2⁶⁸⁵²³ is an apocalyptic number.

68523 is a deficient number, since it is larger than the sum of its proper divisors (44373).

68523 is a wasteful number, since it uses less digits than its factorization.

68523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274.

The product of its digits is 1440, while the sum is 24.

The square root of 68523 is about 261.7689821197. The cubic root of 68523 is about 40.9209263174.

Subtracting from 68523 its reverse (32586), we obtain a cube (35937 = 33³).

The spelling of 68523 in words is "sixty-eight thousand, five hundred twenty-three".