67505 has 8 divisors (see below), whose sum is σ = 84672. Its totient is φ = 51568.

The previous prime is 67499. The next prime is 67511. The reversal of 67505 is 50576.

67505 = T₅ + T₆ + ... + T₇₃.

It is an interprime number because it is at equal distance from previous prime (67499) and next prime (67511).

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

It is a cyclic number.

It is not a de Polignac number, because 67505 - 2⁴ = 67489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a plaindrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2⁶⁷⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

67505 is a deficient number, since it is larger than the sum of its proper divisors (17167).

67505 is a wasteful number, since it uses less digits than its factorization.

67505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615.

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 67505 is about 259.8172434616. The cubic root of 67505 is about 40.7172695640.

Adding to 67505 its sum of digits (23), we get a triangular number (67528 = T₃₆₇).

The spelling of 67505 in words is "sixty-seven thousand, five hundred five".