85952929 has 2 divisors, whose sum is σ = 85952930. Its totient is φ = 85952928.

The previous prime is 85952837. The next prime is 85952957. The reversal of 85952929 is 92925958.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60217600 + 25735329 = 7760^2 + 5073^2 .

It is a cyclic number.

It is not a de Polignac number, because 85952929 - 2⁹ = 85952417 is a prime.

It is not a weakly prime, because it can be changed into another prime (85952129) 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, 42976464 + 42976465.

It is an arithmetic number, because the mean of its divisors is an integer number (42976465).

Almost surely, 2^85952929 is an apocalyptic number.

It is an amenable number.

85952929 is a deficient number, since it is larger than the sum of its proper divisors (1).

85952929 is an equidigital number, since it uses as much as digits as its factorization.

85952929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 583200, while the sum is 49.

The square root of 85952929 is about 9271.0802498954. The cubic root of 85952929 is about 441.3199499085.

The spelling of 85952929 in words is "eighty-five million, nine hundred fifty-two thousand, nine hundred twenty-nine".