8087541 has 32 divisors (see below), whose sum is σ = 13590528. Its totient is φ = 4155840.

The previous prime is 8087507. The next prime is 8087557. The reversal of 8087541 is 1457808.

It is a happy number.

It is not a de Polignac number, because 8087541 - 2⁶ = 8087477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8087561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36156 + ... + 36378.

It is an arithmetic number, because the mean of its divisors is an integer number (424704).

Almost surely, 2^8087541 is an apocalyptic number.

It is an amenable number.

8087541 is a deficient number, since it is larger than the sum of its proper divisors (5502987).

8087541 is a wasteful number, since it uses less digits than its factorization.

8087541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401.

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 8087541 is about 2843.8602286329. The cubic root of 8087541 is about 200.7268634805.

The spelling of 8087541 in words is "eight million, eighty-seven thousand, five hundred forty-one".