65742 has 8 divisors (see below), whose sum is σ = 131496. Its totient is φ = 21912.

The previous prime is 65731. The next prime is 65761. The reversal of 65742 is 24756.

It is a happy number.

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

65742 is an admirable number.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

65742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5473 + ... + 5484.

It is an arithmetic number, because the mean of its divisors is an integer number (16437).

2⁶⁵⁷⁴² is an apocalyptic number.

65742 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65748).

65742 is a wasteful number, since it uses less digits than its factorization.

65742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10962.

The product of its digits is 1680, while the sum is 24.

The square root of 65742 is about 256.4020280731. The cubic root of 65742 is about 40.3596728590.

The spelling of 65742 in words is "sixty-five thousand, seven hundred forty-two".