82057541 has 2 divisors, whose sum is σ = 82057542. Its totient is φ = 82057540.

The previous prime is 82057529. The next prime is 82057553. The reversal of 82057541 is 14575028.

It is a balanced prime because it is at equal distance from previous prime (82057529) and next prime (82057553).

It can be written as a sum of positive squares in only one way, i.e., 81993025 + 64516 = 9055^2 + 254^2 .

It is a cyclic number.

It is not a de Polignac number, because 82057541 - 2²⁶ = 14948677 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 82057498 and 82057507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82057511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41028770 + 41028771.

It is an arithmetic number, because the mean of its divisors is an integer number (41028771).

Almost surely, 2^82057541 is an apocalyptic number.

It is an amenable number.

82057541 is a deficient number, since it is larger than the sum of its proper divisors (1).

82057541 is an equidigital number, since it uses as much as digits as its factorization.

82057541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 82057541 is about 9058.5617511832. The cubic root of 82057541 is about 434.5497450641.

The spelling of 82057541 in words is "eighty-two million, fifty-seven thousand, five hundred forty-one".