82077629 has 2 divisors, whose sum is σ = 82077630. Its totient is φ = 82077628.

The previous prime is 82077599. The next prime is 82077631. The reversal of 82077629 is 92677028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77968900 + 4108729 = 8830^2 + 2027^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82077629 is a prime.

Together with 82077631, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82077679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41038814 + 41038815.

It is an arithmetic number, because the mean of its divisors is an integer number (41038815).

Almost surely, 2^82077629 is an apocalyptic number.

It is an amenable number.

82077629 is a deficient number, since it is larger than the sum of its proper divisors (1).

82077629 is an equidigital number, since it uses as much as digits as its factorization.

82077629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 82077629 is about 9059.6704686208. The cubic root of 82077629 is about 434.5852019844.

The spelling of 82077629 in words is "eighty-two million, seventy-seven thousand, six hundred twenty-nine".