35382 has 8 divisors (see below), whose sum is σ = 70776. Its totient is φ = 11792.

The previous prime is 35381. The next prime is 35393. The reversal of 35382 is 28353.

It is a sphenic number, since it is the product of 3 distinct primes.

35382 is an admirable number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35381) 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 3 ways as a sum of consecutive naturals, for example, 2943 + ... + 2954.

It is an arithmetic number, because the mean of its divisors is an integer number (8847).

2³⁵³⁸² is an apocalyptic number.

35382 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (35388).

35382 is a wasteful number, since it uses less digits than its factorization.

35382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902.

The product of its digits is 720, while the sum is 21.

The square root of 35382 is about 188.1010366798. The cubic root of 35382 is about 32.8292372661.

It can be divided in two parts, 353 and 82, that added together give a triangular number (435 = T₂₉).

The spelling of 35382 in words is "thirty-five thousand, three hundred eighty-two".