85577749 has 2 divisors, whose sum is σ = 85577750. Its totient is φ = 85577748.

The previous prime is 85577747. The next prime is 85577801. The reversal of 85577749 is 94777558.

It is an a-pointer prime, because the next prime (85577801) can be obtained adding 85577749 to its sum of digits (52).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84180625 + 1397124 = 9175^2 + 1182^2 .

It is a cyclic number.

It is not a de Polignac number, because 85577749 - 2¹ = 85577747 is a prime.

It is a super-2 number, since 2×85577749² = 14647102247814002, which contains 22 as substring.

Together with 85577747, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 85577696 and 85577705.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85577747) 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, 42788874 + 42788875.

It is an arithmetic number, because the mean of its divisors is an integer number (42788875).

Almost surely, 2^85577749 is an apocalyptic number.

It is an amenable number.

85577749 is a deficient number, since it is larger than the sum of its proper divisors (1).

85577749 is an equidigital number, since it uses as much as digits as its factorization.

85577749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2469600, while the sum is 52.

The square root of 85577749 is about 9250.8242335481. The cubic root of 85577749 is about 440.6769006081.

The spelling of 85577749 in words is "eighty-five million, five hundred seventy-seven thousand, seven hundred forty-nine".