82570417 has 2 divisors, whose sum is σ = 82570418. Its totient is φ = 82570416.

The previous prime is 82570403. The next prime is 82570451. The reversal of 82570417 is 71407528.

It is a happy number.

It is an a-pointer prime, because the next prime (82570451) can be obtained adding 82570417 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80353296 + 2217121 = 8964^2 + 1489^2 .

It is a cyclic number.

It is not a de Polignac number, because 82570417 - 2⁷ = 82570289 is a prime.

It is equal to p_4810669 and since 82570417 and 4810669 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (82570457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41285208 + 41285209.

It is an arithmetic number, because the mean of its divisors is an integer number (41285209).

Almost surely, 2^82570417 is an apocalyptic number.

It is an amenable number.

82570417 is a deficient number, since it is larger than the sum of its proper divisors (1).

82570417 is an equidigital number, since it uses as much as digits as its factorization.

82570417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 82570417 is about 9086.8265637680. The cubic root of 82570417 is about 435.4532062628.

The spelling of 82570417 in words is "eighty-two million, five hundred seventy thousand, four hundred seventeen".