82077637 has 2 divisors, whose sum is σ = 82077638. Its totient is φ = 82077636.

The previous prime is 82077631. The next prime is 82077643. The reversal of 82077637 is 73677028.

It is a balanced prime because it is at equal distance from previous prime (82077631) and next prime (82077643).

It can be written as a sum of positive squares in only one way, i.e., 57017601 + 25060036 = 7551^2 + 5006^2 .

It is a cyclic number.

It is not a de Polignac number, because 82077637 - 2³ = 82077629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82077637.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82077631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41038818 + 41038819.

It is an arithmetic number, because the mean of its divisors is an integer number (41038819).

Almost surely, 2^82077637 is an apocalyptic number.

It is an amenable number.

82077637 is a deficient number, since it is larger than the sum of its proper divisors (1).

82077637 is an equidigital number, since it uses as much as digits as its factorization.

82077637 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 82077637 is about 9059.6709101380. The cubic root of 82077637 is about 434.5852161038.

The spelling of 82077637 in words is "eighty-two million, seventy-seven thousand, six hundred thirty-seven".