75641 has 2 divisors, whose sum is σ = 75642. Its totient is φ = 75640.

The previous prime is 75629. The next prime is 75653. The reversal of 75641 is 14657.

75641 is nontrivially palindromic in base 11.

It is a balanced prime because it is at equal distance from previous prime (75629) and next prime (75653).

It can be written as a sum of positive squares in only one way, i.e., 75625 + 16 = 275^2 + 4^2 .

It is an emirp because it is prime and its reverse (14657) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 75641 - 2⁶ = 75577 is a prime.

It is a Chen prime.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75641.

It is not a weakly prime, because it can be changed into another prime (75611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37820 + 37821.

It is an arithmetic number, because the mean of its divisors is an integer number (37821).

2⁷⁵⁶⁴¹ is an apocalyptic number.

It is an amenable number.

75641 is a deficient number, since it is larger than the sum of its proper divisors (1).

75641 is an equidigital number, since it uses as much as digits as its factorization.

75641 is an evil number, because the sum of its binary digits is even.

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

The square root of 75641 is about 275.0290893706. The cubic root of 75641 is about 42.2914349064.

It can be divided in two parts, 756 and 41, that added together give a palindrome (797).

The spelling of 75641 in words is "seventy-five thousand, six hundred forty-one".