35730 has 24 divisors (see below), whose sum is σ = 93132. Its totient is φ = 9504.

The previous prime is 35729. The next prime is 35731. The reversal of 35730 is 3753.

It is an interprime number because it is at equal distance from previous prime (35729) and next prime (35731).

It can be written as a sum of positive squares in 2 ways, for example, as 35721 + 9 = 189^2 + 3^2 .

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

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (35731) 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 11 ways as a sum of consecutive naturals, for example, 109 + ... + 288.

2³⁵⁷³⁰ is an apocalyptic number.

35730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

35730 is an abundant number, since it is smaller than the sum of its proper divisors (57402).

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 (46566).

35730 is a wasteful number, since it uses less digits than its factorization.

35730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 35730 is about 189.0238080243. The cubic root of 35730 is about 32.9365170731.

The spelling of 35730 in words is "thirty-five thousand, seven hundred thirty".