85506637 has 2 divisors, whose sum is σ = 85506638. Its totient is φ = 85506636.

The previous prime is 85506613. The next prime is 85506671. The reversal of 85506637 is 73660558.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66896041 + 18610596 = 8179^2 + 4314^2 .

It is a cyclic number.

It is not a de Polignac number, because 85506637 - 2¹¹ = 85504589 is a prime.

It is a super-2 number, since 2×85506637² = 14622769942099538, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85506637.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85506697) 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, 42753318 + 42753319.

It is an arithmetic number, because the mean of its divisors is an integer number (42753319).

Almost surely, 2^85506637 is an apocalyptic number.

It is an amenable number.

85506637 is a deficient number, since it is larger than the sum of its proper divisors (1).

85506637 is an equidigital number, since it uses as much as digits as its factorization.

85506637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 85506637 is about 9246.9798853464. The cubic root of 85506637 is about 440.5548046185.

The spelling of 85506637 in words is "eighty-five million, five hundred six thousand, six hundred thirty-seven".