82762541 has 2 divisors, whose sum is σ = 82762542. Its totient is φ = 82762540.

The previous prime is 82762523. The next prime is 82762553. The reversal of 82762541 is 14526728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48246916 + 34515625 = 6946^2 + 5875^2 .

It is a cyclic number.

It is not a de Polignac number, because 82762541 - 2¹⁰ = 82761517 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82762571) 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 as a sum of consecutive naturals, namely, 41381270 + 41381271.

It is an arithmetic number, because the mean of its divisors is an integer number (41381271).

Almost surely, 2^82762541 is an apocalyptic number.

It is an amenable number.

82762541 is a deficient number, since it is larger than the sum of its proper divisors (1).

82762541 is an equidigital number, since it uses as much as digits as its factorization.

82762541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26880, while the sum is 35.

The square root of 82762541 is about 9097.3919889164. The cubic root of 82762541 is about 435.7906806731.

The spelling of 82762541 in words is "eighty-two million, seven hundred sixty-two thousand, five hundred forty-one".