85187029 has 2 divisors, whose sum is σ = 85187030. Its totient is φ = 85187028.

The previous prime is 85187021. The next prime is 85187041. The reversal of 85187029 is 92078158.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80964004 + 4223025 = 8998^2 + 2055^2 .

It is a cyclic number.

It is not a de Polignac number, because 85187029 - 2³ = 85187021 is a prime.

It is a super-3 number, since 3×85187029³ (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 85186982 and 85187000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85187021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42593514 + 42593515.

It is an arithmetic number, because the mean of its divisors is an integer number (42593515).

Almost surely, 2^85187029 is an apocalyptic number.

It is an amenable number.

85187029 is a deficient number, since it is larger than the sum of its proper divisors (1).

85187029 is an equidigital number, since it uses as much as digits as its factorization.

85187029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 85187029 is about 9229.6819555172. The cubic root of 85187029 is about 440.0052151586.

The spelling of 85187029 in words is "eighty-five million, one hundred eighty-seven thousand, twenty-nine".