67749 has 8 divisors (see below), whose sum is σ = 98592. Its totient is φ = 41040.

The previous prime is 67741. The next prime is 67751. The reversal of 67749 is 94776.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 67749 - 2³ = 67741 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 2053 = 67749 / (6 + 7 + 7 + 4 + 9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 994 + ... + 1059.

It is an arithmetic number, because the mean of its divisors is an integer number (12324).

2⁶⁷⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

67749 is a deficient number, since it is larger than the sum of its proper divisors (30843).

67749 is a wasteful number, since it uses less digits than its factorization.

67749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067.

The product of its digits is 10584, while the sum is 33.

The square root of 67749 is about 260.2863807424. The cubic root of 67749 is about 40.7662687372.

The spelling of 67749 in words is "sixty-seven thousand, seven hundred forty-nine".