35826 has 16 divisors (see below), whose sum is σ = 81984. Its totient is φ = 10224.

The previous prime is 35809. The next prime is 35831. The reversal of 35826 is 62853.

It is a junction number, because it is equal to n+sod(n) for n = 35796 and 35805.

It is a congruent number.

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, 385 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (5124).

2³⁵⁸²⁶ is an apocalyptic number.

35826 is an abundant number, since it is smaller than the sum of its proper divisors (46158).

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 (40992).

35826 is a wasteful number, since it uses less digits than its factorization.

35826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865.

The product of its digits is 1440, while the sum is 24.

The square root of 35826 is about 189.2775739489. The cubic root of 35826 is about 32.9659888338.

It can be divided in two parts, 35 and 826, that added together give a triangular number (861 = T₄₁).

The spelling of 35826 in words is "thirty-five thousand, eight hundred twenty-six".