35724 has 24 divisors (see below), whose sum is σ = 90160. Its totient is φ = 10944.

The previous prime is 35677. The next prime is 35729. The reversal of 35724 is 42753.

It is a happy number.

It is an Ulam number.

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 35724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35729) 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 7 ways as a sum of consecutive naturals, for example, 42 + ... + 270.

2³⁵⁷²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45080).

35724 is an abundant number, since it is smaller than the sum of its proper divisors (54436).

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

35724 is a wasteful number, since it uses less digits than its factorization.

35724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its digits is 840, while the sum is 21.

The square root of 35724 is about 189.0079363413. The cubic root of 35724 is about 32.9346733361.

The spelling of 35724 in words is "thirty-five thousand, seven hundred twenty-four".