67613 has 8 divisors (see below), whose sum is σ = 83328. Its totient is φ = 53424.

The previous prime is 67607. The next prime is 67619. The reversal of 67613 is 31676.

It is an interprime number because it is at equal distance from previous prime (67607) and next prime (67619).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 67613 - 2¹⁴ = 51229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (10416).

2⁶⁷⁶¹³ is an apocalyptic number.

It is an amenable number.

67613 is a deficient number, since it is larger than the sum of its proper divisors (15715).

67613 is a wasteful number, since it uses less digits than its factorization.

67613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763.

The product of its digits is 756, while the sum is 23.

The square root of 67613 is about 260.0249987982. The cubic root of 67613 is about 40.7389722628.

Subtracting from 67613 its reverse (31676), we obtain a cube (35937 = 33³).

The spelling of 67613 in words is "sixty-seven thousand, six hundred thirteen".