82801627 has 2 divisors, whose sum is σ = 82801628. Its totient is φ = 82801626.

The previous prime is 82801613. The next prime is 82801687. The reversal of 82801627 is 72610828.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 82801627 - 2¹⁵ = 82768859 is a prime.

It is a super-2 number, since 2×82801627² = 13712218867694258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82801592 and 82801601.

It is not a weakly prime, because it can be changed into another prime (82801687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41400813 + 41400814.

It is an arithmetic number, because the mean of its divisors is an integer number (41400814).

Almost surely, 2^82801627 is an apocalyptic number.

82801627 is a deficient number, since it is larger than the sum of its proper divisors (1).

82801627 is an equidigital number, since it uses as much as digits as its factorization.

82801627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 82801627 is about 9099.5399334252. The cubic root of 82801627 is about 435.8592730323.

The spelling of 82801627 in words is "eighty-two million, eight hundred one thousand, six hundred twenty-seven".