82814057 has 2 divisors, whose sum is σ = 82814058. Its totient is φ = 82814056.

The previous prime is 82814023. The next prime is 82814063. The reversal of 82814057 is 75041828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82101721 + 712336 = 9061^2 + 844^2 .

It is a cyclic number.

It is not a de Polignac number, because 82814057 - 2¹⁶ = 82748521 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82814257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41407028 + 41407029.

It is an arithmetic number, because the mean of its divisors is an integer number (41407029).

Almost surely, 2^82814057 is an apocalyptic number.

It is an amenable number.

82814057 is a deficient number, since it is larger than the sum of its proper divisors (1).

82814057 is an equidigital number, since it uses as much as digits as its factorization.

82814057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 82814057 is about 9100.2229093578. Note that the first 3 decimals coincide. The cubic root of 82814057 is about 435.8810820228.

The spelling of 82814057 in words is "eighty-two million, eight hundred fourteen thousand, fifty-seven".