83946 has 16 divisors (see below), whose sum is σ = 177984. Its totient is φ = 26304.

The previous prime is 83939. The next prime is 83969. The reversal of 83946 is 64938.

83946 is nontrivially palindromic in base 11.

It is an Ulam number.

It is a d-powerful number, because it can be written as 8 + 3¹⁰ + 9³ + 4⁷ + 6⁵ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (11124).

2⁸³⁹⁴⁶ is an apocalyptic number.

83946 is an abundant number, since it is smaller than the sum of its proper divisors (94038).

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 (88992).

83946 is a wasteful number, since it uses less digits than its factorization.

83946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845.

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

The square root of 83946 is about 289.7343610965. The cubic root of 83946 is about 43.7858047033.

The spelling of 83946 in words is "eighty-three thousand, nine hundred forty-six".