67253 has 4 divisors (see below), whose sum is σ = 67980. Its totient is φ = 66528.

The previous prime is 67247. The next prime is 67261. The reversal of 67253 is 35276.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 20164 + 47089 = 142^2 + 217^2 .

It is a cyclic number.

It is not a de Polignac number, because 67253 - 2⁶ = 67189 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 200 + ... + 417.

It is an arithmetic number, because the mean of its divisors is an integer number (16995).

2⁶⁷²⁵³ is an apocalyptic number.

It is an amenable number.

67253 is a deficient number, since it is larger than the sum of its proper divisors (727).

67253 is a wasteful number, since it uses less digits than its factorization.

67253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726.

The product of its digits is 1260, while the sum is 23.

The square root of 67253 is about 259.3318337574. The cubic root of 67253 is about 40.6665397589. Note that the first 3 decimals are identical.

Adding to 67253 its sum of digits (23), we get a palindrome (67276).

The spelling of 67253 in words is "sixty-seven thousand, two hundred fifty-three".