312264241 has 9 divisors (see below), whose sum is σ = 320810539. Its totient is φ = 303941200.

The previous prime is 312264229. The next prime is 312264269. The reversal of 312264241 is 142462213.

It is a happy number.

The square root of 312264241 is 17671.

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

It can be written as a sum of positive squares in only one way, i.e., 15046641 + 297217600 = 3879^2 + 17240^2 .

It is not a de Polignac number, because 312264241 - 2¹¹ = 312262193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312262241) 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 8 ways as a sum of consecutive naturals, for example, 724296 + ... + 724726.

Almost surely, 2^312264241 is an apocalyptic number.

312264241 is the 17671-st square number.

312264241 is the 8836-th centered octagonal number.

It is an amenable number.

312264241 is a deficient number, since it is larger than the sum of its proper divisors (8546298).

312264241 is an frugal number, since it uses more digits than its factorization.

312264241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 472 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The cubic root of 312264241 is about 678.4337083135.

Multiplying 312264241 by its sum of digits (25), we get a square (7806606025 = 88355²).

Multiplying 312264241 by its product of digits (2304), we get a square (719456811264 = 848208²).

The spelling of 312264241 in words is "three hundred twelve million, two hundred sixty-four thousand, two hundred forty-one".