81250 has 24 divisors (see below), whose sum is σ = 164052. Its totient is φ = 30000.

The previous prime is 81239. The next prime is 81281. The reversal of 81250 is 5218.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 22201 + 59049 = 149^2 + 243^2 .

It is a sliding number, since 81250 = 1250 + 80000 and 1/1250 + 1/80000 = 0.00081250.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6244 + ... + 6256.

2⁸¹²⁵⁰ is an apocalyptic number.

81250 is an abundant number, since it is smaller than the sum of its proper divisors (82802).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82026).

81250 is an equidigital number, since it uses as much as digits as its factorization.

81250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 81250 is about 285.0438562748. The cubic root of 81250 is about 43.3119552670.

Adding to 81250 its reverse (5218), we get a palindrome (86468).

It can be divided in two parts, 8 and 1250, that multiplied together give a 4-th power (10000 = 10⁴).

The spelling of 81250 in words is "eighty-one thousand, two hundred fifty".