85320117 has 24 divisors (see below), whose sum is σ = 128957400. Its totient is φ = 54286848.

The previous prime is 85320083. The next prime is 85320119. The reversal of 85320117 is 71102358.

It can be written as a sum of positive squares in 4 ways, for example, as 53361 + 85266756 = 231^2 + 9234^2 .

It is not a de Polignac number, because 85320117 - 2⁷ = 85319989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85320119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21393 + ... + 25065.

It is an arithmetic number, because the mean of its divisors is an integer number (5373225).

Almost surely, 2^85320117 is an apocalyptic number.

85320117 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

85320117 is a deficient number, since it is larger than the sum of its proper divisors (43637283).

85320117 is a wasteful number, since it uses less digits than its factorization.

85320117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 85320117 is about 9236.8889243078. Note that the first 3 decimals coincide. The cubic root of 85320117 is about 440.2342365066.

The spelling of 85320117 in words is "eighty-five million, three hundred twenty thousand, one hundred seventeen".