312617761 has 3 divisors (see below), whose sum is σ = 312635443. Its totient is φ = 312600080.

The previous prime is 312617759. The next prime is 312617791. The reversal of 312617761 is 167716213.

The square root of 312617761 is 17681.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 167716213 = 7 ⋅23959459.

It can be written as a sum of positive squares in only one way, i.e., 85211361 + 227406400 = 9231^2 + 15080^2 .

It is not a de Polignac number, because 312617761 - 2¹ = 312617759 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312617791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8841 + ... + 26521.

Almost surely, 2^312617761 is an apocalyptic number.

312617761 is the 17681-st square number.

312617761 is the 8841-st centered octagonal number.

It is an amenable number.

312617761 is a deficient number, since it is larger than the sum of its proper divisors (17682).

312617761 is an frugal number, since it uses more digits than its factorization.

312617761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35362 (or 17681 counting only the distinct ones).

The product of its digits is 10584, while the sum is 34.

The cubic root of 312617761 is about 678.6896341192.

The spelling of 312617761 in words is "three hundred twelve million, six hundred seventeen thousand, seven hundred sixty-one".