85123397 has 2 divisors, whose sum is σ = 85123398. Its totient is φ = 85123396.

The previous prime is 85123373. The next prime is 85123399. The reversal of 85123397 is 79332158.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70576801 + 14546596 = 8401^2 + 3814^2 .

It is a cyclic number.

It is not a de Polignac number, because 85123397 - 2¹² = 85119301 is a prime.

Together with 85123399, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85123397.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85123399) 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, 42561698 + 42561699.

It is an arithmetic number, because the mean of its divisors is an integer number (42561699).

Almost surely, 2^85123397 is an apocalyptic number.

It is an amenable number.

85123397 is a deficient number, since it is larger than the sum of its proper divisors (1).

85123397 is an equidigital number, since it uses as much as digits as its factorization.

85123397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 38.

The square root of 85123397 is about 9226.2341721853. The cubic root of 85123397 is about 439.8956312372.

The spelling of 85123397 in words is "eighty-five million, one hundred twenty-three thousand, three hundred ninety-seven".