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7541 is a prime number

7541 has 2 divisors, whose sum is σ = 7542. Its totient is φ = 7540.

The previous prime is 7537. The next prime is 7547. The reversal of 7541 is 1457.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5041 + 2500 = 71^2 + 50^2 .

It is a cyclic number.

It is not a de Polignac number, because 7541 - 22 = 7537 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7541.

It is not a weakly prime, because it can be changed into another prime (7547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3770 + 3771.

It is an arithmetic number, because the mean of its divisors is an integer number (3771).

27541 is an apocalyptic number.

It is an amenable number.

7541 is a deficient number, since it is larger than the sum of its proper divisors (1).

7541 is an equidigital number, since it uses as much as digits as its factorization.

7541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 140, while the sum is 17.

The square root of 7541 is about 86.8389313615. The cubic root of 7541 is about 19.6099422001.

Adding to 7541 its reverse (1457), we get a palindrome (8998).

Subtracting from 7541 its reverse (1457), we obtain a square (6084 = 782).

The spelling of 7541 in words is "seven thousand, five hundred forty-one".