67473 has 30 divisors (see below), whose sum is σ = 124146. Its totient is φ = 36288.

The previous prime is 67453. The next prime is 67477. The reversal of 67473 is 37476.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 3969 = 252^2 + 63^2 .

It is not a de Polignac number, because 67473 - 2⁶ = 67409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 6⁵ + 7² + 4⁴ + 7³ + 3¹⁰ .

It is a Curzon number.

67473 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (67477) 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 29 ways as a sum of consecutive naturals, for example, 3961 + ... + 3977.

2⁶⁷⁴⁷³ is an apocalyptic number.

67473 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

67473 is a deficient number, since it is larger than the sum of its proper divisors (56673).

67473 is a wasteful number, since it uses less digits than its factorization.

67473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 27 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 67473 is about 259.7556544139. The cubic root of 67473 is about 40.7108346897.

It can be divided in two parts, 674 and 73, that added together give a palindrome (747).

The spelling of 67473 in words is "sixty-seven thousand, four hundred seventy-three".