85645577 has 2 divisors, whose sum is σ = 85645578. Its totient is φ = 85645576.

The previous prime is 85645561. The next prime is 85645589. The reversal of 85645577 is 77554658.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83978896 + 1666681 = 9164^2 + 1291^2 .

It is a cyclic number.

It is not a de Polignac number, because 85645577 - 2⁴ = 85645561 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85645177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42822788 + 42822789.

It is an arithmetic number, because the mean of its divisors is an integer number (42822789).

Almost surely, 2^85645577 is an apocalyptic number.

It is an amenable number.

85645577 is a deficient number, since it is larger than the sum of its proper divisors (1).

85645577 is an equidigital number, since it uses as much as digits as its factorization.

85645577 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1176000, while the sum is 47.

The square root of 85645577 is about 9254.4895591275. The cubic root of 85645577 is about 440.7932951139.

It can be divided in two parts, 8564 and 5577, that added together give a palindrome (14141).

The spelling of 85645577 in words is "eighty-five million, six hundred forty-five thousand, five hundred seventy-seven".