67923 has 6 divisors (see below), whose sum is σ = 98124. Its totient is φ = 45276.

The previous prime is 67901. The next prime is 67927. The reversal of 67923 is 32976.

It is not a de Polignac number, because 67923 - 2⁵ = 67891 is a prime.

It is a super-2 number, since 2×67923² = 9227067858, which contains 22 as substring.

It is a d-powerful number, because it can be written as 6⁶ + 7³ + 9³ + 2⁹ + 3⁹ .

67923 is a lucky number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (67927) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3765 + ... + 3782.

It is an arithmetic number, because the mean of its divisors is an integer number (16354).

2⁶⁷⁹²³ is an apocalyptic number.

67923 is a deficient number, since it is larger than the sum of its proper divisors (30201).

67923 is a wasteful number, since it uses less digits than its factorization.

67923 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7553 (or 7550 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 67923 is about 260.6204136287. The cubic root of 67923 is about 40.8011389532.

Subtracting from 67923 its sum of digits (27), we obtain a triangular number (67896 = T₃₆₈).

It can be divided in two parts, 67 and 923, that added together give a triangular number (990 = T₄₄).

The spelling of 67923 in words is "sixty-seven thousand, nine hundred twenty-three".