35802 has 40 divisors (see below), whose sum is σ = 91476. Its totient is φ = 10368.

The previous prime is 35801. The next prime is 35803. The reversal of 35802 is 20853.

It is an interprime number because it is at equal distance from previous prime (35801) and next prime (35803).

It can be written as a sum of positive squares in 2 ways, for example, as 35721 + 81 = 189^2 + 9^2 .

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

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35801) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2098 + ... + 2114.

2³⁵⁸⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45738).

35802 is an abundant number, since it is smaller than the sum of its proper divisors (55674).

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

35802 is a wasteful number, since it uses less digits than its factorization.

35802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 35 counting only the distinct ones).

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

The square root of 35802 is about 189.2141643747. The cubic root of 35802 is about 32.9586258342.

The spelling of 35802 in words is "thirty-five thousand, eight hundred two".