35820 has 36 divisors (see below), whose sum is σ = 109200. Its totient is φ = 9504.

The previous prime is 35809. The next prime is 35831. The reversal of 35820 is 2853.

It is an interprime number because it is at equal distance from previous prime (35809) and next prime (35831).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 35793 and 35802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81 + ... + 279.

2³⁵⁸²⁰ is an apocalyptic number.

35820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

35820 is the 120-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54600).

35820 is an abundant number, since it is smaller than the sum of its proper divisors (73380).

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

35820 is a wasteful number, since it uses less digits than its factorization.

35820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 35820 is about 189.2617235471. The cubic root of 35820 is about 32.9641483923.

It can be divided in two parts, 358 and 20, that added together give a triangular number (378 = T₂₇).

The spelling of 35820 in words is "thirty-five thousand, eight hundred twenty".