8122500 has 135 divisors (see below), whose sum is σ = 27078051. Its totient is φ = 2052000.

The previous prime is 8122421. The next prime is 8122501. The reversal of 8122500 is 52218.

8122500 = 1³ + 2³ + ... + 75³.

The square root of 8122500 is 2850.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 636804 + 7485696 = 798^2 + 2736^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8122501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 427491 + ... + 427509.

Almost surely, 2^8122500 is an apocalyptic number.

8122500 is the 2850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8122500

8122500 is an abundant number, since it is smaller than the sum of its proper divisors (18955551).

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

8122500 is a wasteful number, since it uses less digits than its factorization.

8122500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The cubic root of 8122500 is about 201.0156667079.

Adding to 8122500 its reverse (52218), we get a palindrome (8174718).

It can be divided in two parts, 81 and 22500, that multiplied together give a square (1822500 = 1350²).

The spelling of 8122500 in words is "eight million, one hundred twenty-two thousand, five hundred".