32850 has 36 divisors (see below), whose sum is σ = 89466. Its totient is φ = 8640.

The previous prime is 32843. The next prime is 32869. The reversal of 32850 is 5823.

32850 = 21² + 22² + ... + 47².

It can be written as a sum of positive squares in 3 ways, for example, as 25281 + 7569 = 159^2 + 87^2 .

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

It is a Curzon number.

It is an unprimeable number.

32850 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 414 + ... + 486.

2³²⁸⁵⁰ is an apocalyptic number.

32850 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 32850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44733).

32850 is an abundant number, since it is smaller than the sum of its proper divisors (56616).

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

32850 is a wasteful number, since it uses less digits than its factorization.

32850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 32850 is about 181.2456896039. The cubic root of 32850 is about 32.0266704736.

It can be divided in two parts, 328 and 50, that added together give a triangular number (378 = T₂₇).

The spelling of 32850 in words is "thirty-two thousand, eight hundred fifty".