82817401 has 2 divisors, whose sum is σ = 82817402. Its totient is φ = 82817400.

The previous prime is 82817363. The next prime is 82817419. The reversal of 82817401 is 10471828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82791801 + 25600 = 9099^2 + 160^2 .

It is a cyclic number.

It is not a de Polignac number, because 82817401 - 2⁹ = 82816889 is a prime.

It is not a weakly prime, because it can be changed into another prime (82817491) 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, 41408700 + 41408701.

It is an arithmetic number, because the mean of its divisors is an integer number (41408701).

Almost surely, 2^82817401 is an apocalyptic number.

It is an amenable number.

82817401 is a deficient number, since it is larger than the sum of its proper divisors (1).

82817401 is an equidigital number, since it uses as much as digits as its factorization.

82817401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 82817401 is about 9100.4066392662. The cubic root of 82817401 is about 435.8869488477.

The spelling of 82817401 in words is "eighty-two million, eight hundred seventeen thousand, four hundred one".