86031 has 18 divisors (see below), whose sum is σ = 138320. Its totient is φ = 51480.

The previous prime is 86029. The next prime is 86069. The reversal of 86031 is 13068.

It is not a de Polignac number, because 86031 - 2¹ = 86029 is a prime.

It is a super-2 number, since 2×86031² = 14802665922, which contains 22 as substring.

It is a Duffinian number.

86031 is a lucky number.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 85995 and 86013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86011) 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 17 ways as a sum of consecutive naturals, for example, 1050 + ... + 1128.

2⁸⁶⁰³¹ is an apocalyptic number.

86031 is a deficient number, since it is larger than the sum of its proper divisors (52289).

86031 is a wasteful number, since it uses less digits than its factorization.

86031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 86031 is about 293.3104157714. The cubic root of 86031 is about 44.1453526367.

Adding to 86031 its reverse (13068), we get a palindrome (99099).

The spelling of 86031 in words is "eighty-six thousand, thirty-one".