65250 has 48 divisors (see below), whose sum is σ = 182520. Its totient is φ = 16800.

The previous prime is 65239. The next prime is 65257. The reversal of 65250 is 5256.

It can be written as a sum of positive squares in 4 ways, for example, as 19881 + 45369 = 141^2 + 213^2 .

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

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (65257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2236 + ... + 2264.

2⁶⁵²⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91260).

65250 is an abundant number, since it is smaller than the sum of its proper divisors (117270).

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

65250 is a wasteful number, since it uses less digits than its factorization.

65250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 65250 is about 255.4407954889. The cubic root of 65250 is about 40.2587394060.

The spelling of 65250 in words is "sixty-five thousand, two hundred fifty".