8007541 has 2 divisors, whose sum is σ = 8007542. Its totient is φ = 8007540.

The previous prime is 8007499. The next prime is 8007551. The reversal of 8007541 is 1457008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7700625 + 306916 = 2775^2 + 554^2 .

It is a cyclic number.

It is not a de Polignac number, because 8007541 - 2⁷ = 8007413 is a prime.

8007541 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8007551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4003770 + 4003771.

It is an arithmetic number, because the mean of its divisors is an integer number (4003771).

Almost surely, 2^8007541 is an apocalyptic number.

It is an amenable number.

8007541 is a deficient number, since it is larger than the sum of its proper divisors (1).

8007541 is an equidigital number, since it uses as much as digits as its factorization.

8007541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 8007541 is about 2829.7598838064. The cubic root of 8007541 is about 200.0628219316.

The spelling of 8007541 in words is "eight million, seven thousand, five hundred forty-one".