65741 has 6 divisors (see below), whose sum is σ = 71370. Its totient is φ = 60528.

The previous prime is 65731. The next prime is 65761. The reversal of 65741 is 14756.

65741 = T₉₄ + T₉₅ + ... + T₁₀₆.

It can be written as a sum of positive squares in 3 ways, for example, as 1225 + 64516 = 35^2 + 254^2 .

It is not a de Polignac number, because 65741 - 2⁶ = 65677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65701) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (11895).

2⁶⁵⁷⁴¹ is an apocalyptic number.

It is an amenable number.

65741 is a deficient number, since it is larger than the sum of its proper divisors (5629).

65741 is a wasteful number, since it uses less digits than its factorization.

65741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 402 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 65741 is about 256.4000780031. The cubic root of 65741 is about 40.3594682213.

The spelling of 65741 in words is "sixty-five thousand, seven hundred forty-one".