312405625 has 45 divisors (see below), whose sum is σ = 458658651. Its totient is φ = 212100000.

The previous prime is 312405607. The next prime is 312405641. The reversal of 312405625 is 526504213.

The square root of 312405625 is 17675.

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

It can be written as a sum of positive squares in 7 ways, for example, as 67420521 + 244985104 = 8211^2 + 15652^2 .

It is not a de Polignac number, because 312405625 - 2⁵ = 312405593 is a prime.

It is a Duffinian number.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 312405593 and 312405602.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3093075 + ... + 3093175.

Almost surely, 2^312405625 is an apocalyptic number.

312405625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

312405625 is the 17675-th square number.

312405625 is the 8838-th centered octagonal number.

It is an amenable number.

312405625 is a deficient number, since it is larger than the sum of its proper divisors (146253026).

312405625 is an frugal number, since it uses more digits than its factorization.

312405625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The cubic root of 312405625 is about 678.5360844274.

Adding to 312405625 its reverse (526504213), we get a palindrome (838909838).

The spelling of 312405625 in words is "three hundred twelve million, four hundred five thousand, six hundred twenty-five".