37086 has 16 divisors (see below), whose sum is σ = 84864. Its totient is φ = 10584.

The previous prime is 37061. The next prime is 37087. The reversal of 37086 is 68073.

37086 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

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 37086.

It is not an unprimeable number, because it can be changed into a prime (37087) by changing a digit.

37086 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (5304).

2³⁷⁰⁸⁶ is an apocalyptic number.

37086 is an abundant number, since it is smaller than the sum of its proper divisors (47778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42432).

37086 is a wasteful number, since it uses less digits than its factorization.

37086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895.

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

The square root of 37086 is about 192.5772572242. The cubic root of 37086 is about 33.3480157541.

The spelling of 37086 in words is "thirty-seven thousand, eighty-six".