312500 has 24 divisors (see below), whose sum is σ = 683592. Its totient is φ = 125000.

The previous prime is 312469. The next prime is 312509. The reversal of 312500 is 5213.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 309136 + 3364 = 556^2 + 58^2 .

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312509) by changing a digit.

312500 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 7 ways as a sum of consecutive naturals, for example, 62498 + ... + 62502.

It is an arithmetic number, because the mean of its divisors is an integer number (28483).

312500 is a Friedman number, since it can be written as 100*(3+2)^5, using all its digits and the basic arithmetic operations.

2³¹²⁵⁰⁰ 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 312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341796).

312500 is an abundant number, since it is smaller than the sum of its proper divisors (371092).

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

312500 is an frugal number, since it uses more digits than its factorization.

312500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 312500 is about 559.0169943749. The cubic root of 312500 is about 67.8604404149.

Adding to 312500 its reverse (5213), we get a palindrome (317713).

The spelling of 312500 in words is "three hundred twelve thousand, five hundred".