82048541 has 2 divisors, whose sum is σ = 82048542. Its totient is φ = 82048540.

The previous prime is 82048501. The next prime is 82048543. The reversal of 82048541 is 14584028.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81631225 + 417316 = 9035^2 + 646^2 .

It is a cyclic number.

It is not a de Polignac number, because 82048541 - 2²⁶ = 14939677 is a prime.

Together with 82048543, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 82048498 and 82048507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82048543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41024270 + 41024271.

It is an arithmetic number, because the mean of its divisors is an integer number (41024271).

Almost surely, 2^82048541 is an apocalyptic number.

It is an amenable number.

82048541 is a deficient number, since it is larger than the sum of its proper divisors (1).

82048541 is an equidigital number, since it uses as much as digits as its factorization.

82048541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 82048541 is about 9058.0649699591. The cubic root of 82048541 is about 434.5338574701.

The spelling of 82048541 in words is "eighty-two million, forty-eight thousand, five hundred forty-one".