35882 has 16 divisors (see below), whose sum is σ = 67392. Its totient is φ = 13920.

The previous prime is 35879. The next prime is 35897. The reversal of 35882 is 28853.

It is a nialpdrome in base 14 and base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35882.

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, 38 + ... + 270.

It is an arithmetic number, because the mean of its divisors is an integer number (4212).

2³⁵⁸⁸² is an apocalyptic number.

35882 is a deficient number, since it is larger than the sum of its proper divisors (31510).

35882 is a wasteful number, since it uses less digits than its factorization.

35882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253.

The product of its digits is 1920, while the sum is 26.

The square root of 35882 is about 189.4254470762. The cubic root of 35882 is about 32.9831563874.

It can be divided in two parts, 3 and 5882, that added together give a palindrome (5885).

The spelling of 35882 in words is "thirty-five thousand, eight hundred eighty-two".