82587441 has 16 divisors (see below), whose sum is σ = 116745728. Its totient is φ = 51840000.

The previous prime is 82587431. The next prime is 82587443. The reversal of 82587441 is 14478528.

It is a happy number.

It is not a de Polignac number, because 82587441 - 2⁷ = 82587313 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82587441.

It is not an unprimeable number, because it can be changed into a prime (82587443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8560 + ... + 15441.

It is an arithmetic number, because the mean of its divisors is an integer number (7296608).

Almost surely, 2^82587441 is an apocalyptic number.

It is an amenable number.

82587441 is a deficient number, since it is larger than the sum of its proper divisors (34158287).

82587441 is a wasteful number, since it uses less digits than its factorization.

82587441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24072.

The product of its digits is 71680, while the sum is 39.

The square root of 82587441 is about 9087.7632561594. The cubic root of 82587441 is about 435.4831308058.

It can be divided in two parts, 82587 and 441, that added together give a triangular number (83028 = T₄₀₇).

The spelling of 82587441 in words is "eighty-two million, five hundred eighty-seven thousand, four hundred forty-one".