86100861 has 32 divisors (see below), whose sum is σ = 146635776. Its totient is φ = 43632000.

The previous prime is 86100827. The next prime is 86100863. The reversal of 86100861 is 16800168.

It is not a de Polignac number, because 86100861 - 2¹⁹ = 85576573 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86100863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4926 + ... + 14016.

It is an arithmetic number, because the mean of its divisors is an integer number (4582368).

Almost surely, 2^86100861 is an apocalyptic number.

It is an amenable number.

86100861 is a deficient number, since it is larger than the sum of its proper divisors (60534915).

86100861 is a wasteful number, since it uses less digits than its factorization.

86100861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9153.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 86100861 is about 9279.0549626565. The cubic root of 86100861 is about 441.5729873386.

It can be divided in two parts, 86100 and 861, that multiplied together give a square (74132100 = 8610²).

The spelling of 86100861 in words is "eighty-six million, one hundred thousand, eight hundred sixty-one".