65141041 has 9 divisors (see below), whose sum is σ = 75842091. Its totient is φ = 55786752.

The previous prime is 65141017. The next prime is 65141057. The reversal of 65141041 is 14014156.

The square root of 65141041 is 8071.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 51480625 + 13660416 = 7175^2 + 3696^2 .

It is not a de Polignac number, because 65141041 - 2⁷ = 65140913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65141071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55921 + ... + 57073.

It is an arithmetic number, because the mean of its divisors is an integer number (8426899).

Almost surely, 2^65141041 is an apocalyptic number.

65141041 is the 8071-st square number.

65141041 is the 4036-th centered octagonal number.

It is an amenable number.

65141041 is a deficient number, since it is larger than the sum of its proper divisors (10701050).

65141041 is an frugal number, since it uses more digits than its factorization.

65141041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The cubic root of 65141041 is about 402.3631797095.

Adding to 65141041 its reverse (14014156), we get a palindrome (79155197).

The spelling of 65141041 in words is "sixty-five million, one hundred forty-one thousand, forty-one".