67753 has 4 divisors (see below), whose sum is σ = 77440. Its totient is φ = 58068.

The previous prime is 67751. The next prime is 67757. The reversal of 67753 is 35776.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 67753 - 2¹ = 67751 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67751) 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, 4833 + ... + 4846.

It is an arithmetic number, because the mean of its divisors is an integer number (19360).

2⁶⁷⁷⁵³ is an apocalyptic number.

It is an amenable number.

67753 is a deficient number, since it is larger than the sum of its proper divisors (9687).

67753 is an equidigital number, since it uses as much as digits as its factorization.

67753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9686.

The product of its digits is 4410, while the sum is 28.

The square root of 67753 is about 260.2940644732. The cubic root of 67753 is about 40.7670710214.

It can be divided in two parts, 67 and 753, that added together give a triangular number (820 = T₄₀).

The spelling of 67753 in words is "sixty-seven thousand, seven hundred fifty-three".