35250 has 32 divisors (see below), whose sum is σ = 89856. Its totient is φ = 9200.

The previous prime is 35227. The next prime is 35251. The reversal of 35250 is 5253.

35250 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (35251) by changing a digit.

35250 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 727 + ... + 773.

It is an arithmetic number, because the mean of its divisors is an integer number (2808).

2³⁵²⁵⁰ is an apocalyptic number.

35250 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 35250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44928).

35250 is an abundant number, since it is smaller than the sum of its proper divisors (54606).

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

35250 is a wasteful number, since it uses less digits than its factorization.

35250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 35250 is about 187.7498335552. The cubic root of 35250 is about 32.7883609308.

It can be divided in two parts, 3 and 5250, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 35250 in words is "thirty-five thousand, two hundred fifty".