85724627 has 2 divisors, whose sum is σ = 85724628. Its totient is φ = 85724626.

The previous prime is 85724543. The next prime is 85724629. The reversal of 85724627 is 72642758.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 85724627 - 2¹⁸ = 85462483 is a prime.

Together with 85724629, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85724629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42862313 + 42862314.

It is an arithmetic number, because the mean of its divisors is an integer number (42862314).

Almost surely, 2^85724627 is an apocalyptic number.

85724627 is a deficient number, since it is larger than the sum of its proper divisors (1).

85724627 is an equidigital number, since it uses as much as digits as its factorization.

85724627 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 188160, while the sum is 41.

The square root of 85724627 is about 9258.7594741412. The cubic root of 85724627 is about 440.9288693266.

The spelling of 85724627 in words is "eighty-five million, seven hundred twenty-four thousand, six hundred twenty-seven".