85743521 has 2 divisors, whose sum is σ = 85743522. Its totient is φ = 85743520.

The previous prime is 85743503. The next prime is 85743527. The reversal of 85743521 is 12534758.

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., 85359121 + 384400 = 9239^2 + 620^2 .

It is a cyclic number.

It is not a de Polignac number, because 85743521 - 2⁶ = 85743457 is a prime.

It is not a weakly prime, because it can be changed into another prime (85743527) 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, 42871760 + 42871761.

It is an arithmetic number, because the mean of its divisors is an integer number (42871761).

Almost surely, 2^85743521 is an apocalyptic number.

It is an amenable number.

85743521 is a deficient number, since it is larger than the sum of its proper divisors (1).

85743521 is an equidigital number, since it uses as much as digits as its factorization.

85743521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 33600, while the sum is 35.

The square root of 85743521 is about 9259.7797490005. The cubic root of 85743521 is about 440.9612610223.

The spelling of 85743521 in words is "eighty-five million, seven hundred forty-three thousand, five hundred twenty-one".