67913 has 4 divisors (see below), whose sum is σ = 68628. Its totient is φ = 67200.

The previous prime is 67901. The next prime is 67927. The reversal of 67913 is 31976.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 24649 + 43264 = 157^2 + 208^2 .

It is a cyclic number.

It is not a de Polignac number, because 67913 - 2¹⁰ = 66889 is a prime.

It is a super-2 number, since 2×67913² = 9224351138, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (17157).

2⁶⁷⁹¹³ is an apocalyptic number.

It is an amenable number.

67913 is a deficient number, since it is larger than the sum of its proper divisors (715).

67913 is a wasteful number, since it uses less digits than its factorization.

67913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714.

The product of its digits is 1134, while the sum is 26.

The square root of 67913 is about 260.6012279326. The cubic root of 67913 is about 40.7991365318.

Subtracting from 67913 its reverse (31976), we obtain a cube (35937 = 33³).

The spelling of 67913 in words is "sixty-seven thousand, nine hundred thirteen".