82988541 has 12 divisors (see below), whose sum is σ = 119951520. Its totient is φ = 55289160.

The previous prime is 82988533. The next prime is 82988557. The reversal of 82988541 is 14588928.

It is a happy number.

82988541 is a `hidden beast` number, since 8 + 29 + 88 + 541 = 666.

It is not a de Polignac number, because 82988541 - 2³ = 82988533 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82988501) 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 11 ways as a sum of consecutive naturals, for example, 23736 + ... + 27006.

It is an arithmetic number, because the mean of its divisors is an integer number (9995960).

Almost surely, 2^82988541 is an apocalyptic number.

It is an amenable number.

82988541 is a deficient number, since it is larger than the sum of its proper divisors (36962979).

82988541 is a wasteful number, since it uses less digits than its factorization.

82988541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 6093 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 82988541 is about 9109.8046631089. The cubic root of 82988541 is about 436.1869919373.

The spelling of 82988541 in words is "eighty-two million, nine hundred eighty-eight thousand, five hundred forty-one".