35500 has 24 divisors (see below), whose sum is σ = 78624. Its totient is φ = 14000.

The previous prime is 35491. The next prime is 35507. The reversal of 35500 is 553.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (35507) 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, 465 + ... + 535.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

2³⁵⁵⁰⁰ 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 35500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312).

35500 is an abundant number, since it is smaller than the sum of its proper divisors (43124).

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

35500 is a wasteful number, since it uses less digits than its factorization.

35500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 13.

The square root of 35500 is about 188.4144368142. The cubic root of 35500 is about 32.8656922572.

It can be divided in two parts, 35 and 500, that added together give a palindrome (535).

The spelling of 35500 in words is "thirty-five thousand, five hundred".