86257101 has 24 divisors (see below), whose sum is σ = 137411040. Its totient is φ = 47954592.

The previous prime is 86257063. The next prime is 86257103. The reversal of 86257101 is 10175268.

It is not a de Polignac number, because 86257101 - 2⁶ = 86257037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86257103) 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 in 23 ways as a sum of consecutive naturals, for example, 2491 + ... + 13368.

It is an arithmetic number, because the mean of its divisors is an integer number (5725460).

Almost surely, 2^86257101 is an apocalyptic number.

It is an amenable number.

86257101 is a deficient number, since it is larger than the sum of its proper divisors (51153939).

86257101 is a wasteful number, since it uses less digits than its factorization.

86257101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15913 (or 15906 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 86257101 is about 9287.4701076235. The cubic root of 86257101 is about 441.8399210790.

The spelling of 86257101 in words is "eighty-six million, two hundred fifty-seven thousand, one hundred one".