Search a number
-
+
65407541 is a prime number
BaseRepresentation
bin1111100110000…
…0101000110101
311120002001021112
43321200220311
5113221020131
610253524405
71422645353
oct371405065
9146061245
1065407541
1133a14721
1219aa3705
13107213b4
1489887d3
155b2002b
hex3e60a35

65407541 has 2 divisors, whose sum is σ = 65407542. Its totient is φ = 65407540.

The previous prime is 65407523. The next prime is 65407549. The reversal of 65407541 is 14570456.

65407541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62331025 + 3076516 = 7895^2 + 1754^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-65407541 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 65407498 and 65407507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65407549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32703770 + 32703771.

It is an arithmetic number, because the mean of its divisors is an integer number (32703771).

Almost surely, 265407541 is an apocalyptic number.

It is an amenable number.

65407541 is a deficient number, since it is larger than the sum of its proper divisors (1).

65407541 is an equidigital number, since it uses as much as digits as its factorization.

65407541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 65407541 is about 8087.4928748037. The cubic root of 65407541 is about 402.9111388615.

Adding to 65407541 its reverse (14570456), we get a palindrome (79977997).

The spelling of 65407541 in words is "sixty-five million, four hundred seven thousand, five hundred forty-one".