86037 has 16 divisors (see below), whose sum is σ = 139392. Its totient is φ = 46080.

The previous prime is 86029. The next prime is 86069. The reversal of 86037 is 73068.

86037 is nontrivially palindromic in base 2 and base 4.

It is not a de Polignac number, because 86037 - 2³ = 86029 is a prime.

86037 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 = 85998 and 86016.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86037.

It is not an unprimeable number, because it can be changed into a prime (86017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (8712).

2⁸⁶⁰³⁷ is an apocalyptic number.

It is an amenable number.

86037 is a deficient number, since it is larger than the sum of its proper divisors (53355).

86037 is a wasteful number, since it uses less digits than its factorization.

86037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 86037 is about 293.3206436649. The cubic root of 86037 is about 44.1463788790.

The spelling of 86037 in words is "eighty-six thousand, thirty-seven".