85213001 has 2 divisors, whose sum is σ = 85213002. Its totient is φ = 85213000.

The previous prime is 85212997. The next prime is 85213003. The reversal of 85213001 is 10031258.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82373776 + 2839225 = 9076^2 + 1685^2 .

It is a cyclic number.

It is not a de Polignac number, because 85213001 - 2² = 85212997 is a prime.

It is a super-2 number, since 2×85213001² = 14522511078852002, which contains 22 as substring.

Together with 85213003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85213003) 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, 42606500 + 42606501.

It is an arithmetic number, because the mean of its divisors is an integer number (42606501).

Almost surely, 2^85213001 is an apocalyptic number.

It is an amenable number.

85213001 is a deficient number, since it is larger than the sum of its proper divisors (1).

85213001 is an equidigital number, since it uses as much as digits as its factorization.

85213001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 85213001 is about 9231.0888306851. The cubic root of 85213001 is about 440.0499271857.

Adding to 85213001 its reverse (10031258), we get a palindrome (95244259).

The spelling of 85213001 in words is "eighty-five million, two hundred thirteen thousand, one".