67653 has 6 divisors (see below), whose sum is σ = 97734. Its totient is φ = 45096.

The previous prime is 67651. The next prime is 67679. The reversal of 67653 is 35676.

67653 is a `hidden beast` number, since 6 + 7 + 653 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66564 + 1089 = 258^2 + 33^2 .

It is not a de Polignac number, because 67653 - 2¹ = 67651 is a prime.

It is a super-4 number, since 4×67653⁴ = 83793094644445085124, which contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3750 + ... + 3767.

It is an arithmetic number, because the mean of its divisors is an integer number (16289).

2⁶⁷⁶⁵³ is an apocalyptic number.

It is an amenable number.

67653 is a deficient number, since it is larger than the sum of its proper divisors (30081).

67653 is a wasteful number, since it uses less digits than its factorization.

67653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7523 (or 7520 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 67653 is about 260.1019031072. The cubic root of 67653 is about 40.7470044343.

It can be divided in two parts, 676 and 53, that added together give a 6-th power (729 = 3⁶).

The spelling of 67653 in words is "sixty-seven thousand, six hundred fifty-three".