85838513 has 2 divisors, whose sum is σ = 85838514. Its totient is φ = 85838512.

The previous prime is 85838471. The next prime is 85838527. The reversal of 85838513 is 31583858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85803169 + 35344 = 9263^2 + 188^2 .

It is a cyclic number.

It is not a de Polignac number, because 85838513 - 2¹⁰ = 85837489 is a prime.

It is not a weakly prime, because it can be changed into another prime (85838563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42919256 + 42919257.

It is an arithmetic number, because the mean of its divisors is an integer number (42919257).

Almost surely, 2^85838513 is an apocalyptic number.

It is an amenable number.

85838513 is a deficient number, since it is larger than the sum of its proper divisors (1).

85838513 is an equidigital number, since it uses as much as digits as its factorization.

85838513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 115200, while the sum is 41.

The square root of 85838513 is about 9264.9076088216. The cubic root of 85838513 is about 441.1240423516.

The spelling of 85838513 in words is "eighty-five million, eight hundred thirty-eight thousand, five hundred thirteen".