85641329 has 2 divisors, whose sum is σ = 85641330. Its totient is φ = 85641328.

The previous prime is 85641317. The next prime is 85641331. The reversal of 85641329 is 92314658.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85063729 + 577600 = 9223^2 + 760^2 .

It is a cyclic number.

It is not a de Polignac number, because 85641329 - 2¹⁶ = 85575793 is a prime.

Together with 85641331, it forms a pair of twin primes.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 85641329 parts by 13087 straight cuts.

It is a junction number, because it is equal to n+sod(n) for n = 85641292 and 85641301.

It is not a weakly prime, because it can be changed into another prime (85641349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42820664 + 42820665.

It is an arithmetic number, because the mean of its divisors is an integer number (42820665).

Almost surely, 2^85641329 is an apocalyptic number.

It is an amenable number.

85641329 is a deficient number, since it is larger than the sum of its proper divisors (1).

85641329 is an equidigital number, since it uses as much as digits as its factorization.

85641329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 51840, while the sum is 38.

The square root of 85641329 is about 9254.2600460545. The cubic root of 85641329 is about 440.7860072463.

The spelling of 85641329 in words is "eighty-five million, six hundred forty-one thousand, three hundred twenty-nine".