86121 has 12 divisors (see below), whose sum is σ = 142272. Its totient is φ = 49176.

The previous prime is 86117. The next prime is 86131. The reversal of 86121 is 12168.

It is not a de Polignac number, because 86121 - 2² = 86117 is a prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 86094 and 86103.

It is not an unprimeable number, because it can be changed into a prime (86111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 621 + ... + 746.

It is an arithmetic number, because the mean of its divisors is an integer number (11856).

2⁸⁶¹²¹ is an apocalyptic number.

It is an amenable number.

86121 is a deficient number, since it is larger than the sum of its proper divisors (56151).

86121 is a wasteful number, since it uses less digits than its factorization.

86121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1377 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 86121 is about 293.4637967450. The cubic root of 86121 is about 44.1607412643.

Adding to 86121 its reverse (12168), we get a palindrome (98289).

It can be divided in two parts, 861 and 21, that multiplied together give a palindrome (18081).

The spelling of 86121 in words is "eighty-six thousand, one hundred twenty-one".