85344315 has 32 divisors (see below), whose sum is σ = 156472320. Its totient is φ = 38911104.

The previous prime is 85344251. The next prime is 85344317. The reversal of 85344315 is 51344358.

It is not a de Polignac number, because 85344315 - 2⁶ = 85344251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85344317) 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 in 31 ways as a sum of consecutive naturals, for example, 50301 + ... + 51969.

It is an arithmetic number, because the mean of its divisors is an integer number (4889760).

Almost surely, 2^85344315 is an apocalyptic number.

85344315 is a deficient number, since it is larger than the sum of its proper divisors (71128005).

85344315 is a wasteful number, since it uses less digits than its factorization.

85344315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171.

The product of its digits is 28800, while the sum is 33.

The square root of 85344315 is about 9238.1986880560. The cubic root of 85344315 is about 440.2758514719.

The spelling of 85344315 in words is "eighty-five million, three hundred forty-four thousand, three hundred fifteen".