3126500 has 72 divisors (see below), whose sum is σ = 7593768. Its totient is φ = 1123200.

The previous prime is 3126491. The next prime is 3126509. The reversal of 3126500 is 56213.

It is an interprime number because it is at equal distance from previous prime (3126491) and next prime (3126509).

It can be written as a sum of positive squares in 12 ways, for example, as 2630884 + 495616 = 1622^2 + 704^2 .

It is not an unprimeable number, because it can be changed into a prime (3126509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84482 + ... + 84518.

It is an arithmetic number, because the mean of its divisors is an integer number (105469).

Almost surely, 2^3126500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3126500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796884).

3126500 is an abundant number, since it is smaller than the sum of its proper divisors (4467268).

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

3126500 is a wasteful number, since it uses less digits than its factorization.

3126500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 3126500 is about 1768.1911661356. The cubic root of 3126500 is about 146.2242753108.

The spelling of 3126500 in words is "three million, one hundred twenty-six thousand, five hundred".