67254 has 16 divisors (see below), whose sum is σ = 146880. Its totient is φ = 20360.

The previous prime is 67247. The next prime is 67261. The reversal of 67254 is 45276.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67247) and next prime (67261).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

67254 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (9180).

67254 is a Friedman number, since it can be written as 26+7^5*4, using all its digits and the basic arithmetic operations.

2⁶⁷²⁵⁴ is an apocalyptic number.

67254 is an abundant number, since it is smaller than the sum of its proper divisors (79626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73440).

67254 is a wasteful number, since it uses less digits than its factorization.

67254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035.

The product of its digits is 1680, while the sum is 24.

The square root of 67254 is about 259.3337617820. Note that the first 3 decimals coincide. The cubic root of 67254 is about 40.6667413179. Note that the first 3 decimals are identical.

It can be divided in two parts, 6 and 7254, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 67254 in words is "sixty-seven thousand, two hundred fifty-four".