34986 has 32 divisors (see below), whose sum is σ = 86400. Its totient is φ = 9408.

The previous prime is 34981. The next prime is 35023. The reversal of 34986 is 68943.

It is a d-powerful number, because it can be written as 3⁷ + 4² + 9 + 8⁵ + 6 .

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (34981) by changing a digit.

34986 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 15 ways as a sum of consecutive naturals, for example, 2050 + ... + 2066.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

34986 is a Friedman number, since it can be written as 48*9^3-6, using all its digits and the basic arithmetic operations.

2³⁴⁹⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200).

34986 is an abundant number, since it is smaller than the sum of its proper divisors (51414).

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

34986 is a wasteful number, since it uses less digits than its factorization.

34986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 29 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 34986 is about 187.0454490224. The cubic root of 34986 is about 32.7063010985.

It can be divided in two parts, 349 and 86, that added together give a triangular number (435 = T₂₉).

The spelling of 34986 in words is "thirty-four thousand, nine hundred eighty-six".