85537301 has 2 divisors, whose sum is σ = 85537302. Its totient is φ = 85537300.

The previous prime is 85537289. The next prime is 85537307. The reversal of 85537301 is 10373558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76143076 + 9394225 = 8726^2 + 3065^2 .

It is a cyclic number.

It is not a de Polignac number, because 85537301 - 2¹⁴ = 85520917 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85537307) 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, 42768650 + 42768651.

It is an arithmetic number, because the mean of its divisors is an integer number (42768651).

Almost surely, 2^85537301 is an apocalyptic number.

It is an amenable number.

85537301 is a deficient number, since it is larger than the sum of its proper divisors (1).

85537301 is an equidigital number, since it uses as much as digits as its factorization.

85537301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 85537301 is about 9248.6377915886. The cubic root of 85537301 is about 440.6074615758.

The spelling of 85537301 in words is "eighty-five million, five hundred thirty-seven thousand, three hundred one".