67125 has 16 divisors (see below), whose sum is σ = 112320. Its totient is φ = 35600.

The previous prime is 67121. The next prime is 67129. The reversal of 67125 is 52176.

It is an interprime number because it is at equal distance from previous prime (67121) and next prime (67129).

It is not a de Polignac number, because 67125 - 2² = 67121 is a prime.

67125 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67121) 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 15 ways as a sum of consecutive naturals, for example, 286 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2⁶⁷¹²⁵ is an apocalyptic number.

It is an amenable number.

67125 is a deficient number, since it is larger than the sum of its proper divisors (45195).

67125 is a wasteful number, since it uses less digits than its factorization.

67125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 187 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 67125 is about 259.0849281606. The cubic root of 67125 is about 40.6407236965.

It can be divided in two parts, 671 and 25, that added together give a palindrome (696).

The spelling of 67125 in words is "sixty-seven thousand, one hundred twenty-five".