85006457 has 2 divisors, whose sum is σ = 85006458. Its totient is φ = 85006456.

The previous prime is 85006447. The next prime is 85006463. The reversal of 85006457 is 75460058.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77721856 + 7284601 = 8816^2 + 2699^2 .

It is a cyclic number.

It is not a de Polignac number, because 85006457 - 2⁶ = 85006393 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85006447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42503228 + 42503229.

It is an arithmetic number, because the mean of its divisors is an integer number (42503229).

Almost surely, 2^85006457 is an apocalyptic number.

It is an amenable number.

85006457 is a deficient number, since it is larger than the sum of its proper divisors (1).

85006457 is an equidigital number, since it uses as much as digits as its factorization.

85006457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 85006457 is about 9219.8946306343. The cubic root of 85006457 is about 439.6941003963.

The spelling of 85006457 in words is "eighty-five million, six thousand, four hundred fifty-seven".