35550 has 36 divisors (see below), whose sum is σ = 96720. Its totient is φ = 9360.

The previous prime is 35543. The next prime is 35569. The reversal of 35550 is 5553.

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

It is a plaindrome in base 11 and base 16.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35550.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 411 + ... + 489.

2³⁵⁵⁵⁰ is an apocalyptic number.

35550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48360).

35550 is an abundant number, since it is smaller than the sum of its proper divisors (61170).

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

35550 is a wasteful number, since it uses less digits than its factorization.

35550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 35550 is about 188.5470763496. The cubic root of 35550 is about 32.8811149213.

It can be divided in two parts, 35 and 550, that added together give a palindrome (585).

The spelling of 35550 in words is "thirty-five thousand, five hundred fifty".