85917051 has 16 divisors (see below), whose sum is σ = 138856320. Its totient is φ = 52070760.

The previous prime is 85917047. The next prime is 85917061. The reversal of 85917051 is 15071958.

It is not a de Polignac number, because 85917051 - 2² = 85917047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85916997 and 85917015.

It is not an unprimeable number, because it can be changed into a prime (85917011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144345 + ... + 144938.

It is an arithmetic number, because the mean of its divisors is an integer number (8678520).

Almost surely, 2^85917051 is an apocalyptic number.

85917051 is a deficient number, since it is larger than the sum of its proper divisors (52939269).

85917051 is a wasteful number, since it uses less digits than its factorization.

85917051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289303 (or 289297 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The square root of 85917051 is about 9269.1451062113. The cubic root of 85917051 is about 441.2585369121.

The spelling of 85917051 in words is "eighty-five million, nine hundred seventeen thousand, fifty-one".