85797541 has 2 divisors, whose sum is σ = 85797542. Its totient is φ = 85797540.

The previous prime is 85797539. The next prime is 85797563. The reversal of 85797541 is 14579758.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64866916 + 20930625 = 8054^2 + 4575^2 .

It is a cyclic number.

It is not a de Polignac number, because 85797541 - 2¹ = 85797539 is a prime.

It is a super-2 number, since 2×85797541² = 14722436083293362, which contains 22 as substring.

Together with 85797539, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 85797491 and 85797500.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85797241) 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, 42898770 + 42898771.

It is an arithmetic number, because the mean of its divisors is an integer number (42898771).

Almost surely, 2^85797541 is an apocalyptic number.

It is an amenable number.

85797541 is a deficient number, since it is larger than the sum of its proper divisors (1).

85797541 is an equidigital number, since it uses as much as digits as its factorization.

85797541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 352800, while the sum is 46.

The square root of 85797541 is about 9262.6962057492. The cubic root of 85797541 is about 441.0538461579.

The spelling of 85797541 in words is "eighty-five million, seven hundred ninety-seven thousand, five hundred forty-one".