67924 has 6 divisors (see below), whose sum is σ = 118874. Its totient is φ = 33960.

The previous prime is 67901. The next prime is 67927. The reversal of 67924 is 42976.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 324 = 260^2 + 18^2 .

It is a super-2 number, since 2×67924² = 9227339552, which contains 22 as substring.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 67892 and 67901.

It is a congruent number.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8487 + ... + 8494.

2⁶⁷⁹²⁴ is an apocalyptic number.

It is an amenable number.

67924 is a deficient number, since it is larger than the sum of its proper divisors (50950).

67924 is a wasteful number, since it uses less digits than its factorization.

67924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16985 (or 16983 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 67924 is about 260.6223321206. The cubic root of 67924 is about 40.8013391845.

Subtracting from 67924 its sum of digits (28), we obtain a triangular number (67896 = T₃₆₈).

It can be divided in two parts, 679 and 24, that added together give a triangular number (703 = T₃₇).

The spelling of 67924 in words is "sixty-seven thousand, nine hundred twenty-four".