814007965 has 8 divisors (see below), whose sum is σ = 977006520. Its totient is φ = 651075072.

The previous prime is 814007963. The next prime is 814007969. The reversal of 814007965 is 569700418.

It can be written as a sum of positive squares in 4 ways, for example, as 55666521 + 758341444 = 7461^2 + 27538^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 814007965 - 2¹ = 814007963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814007963) 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 7 ways as a sum of consecutive naturals, for example, 17077 + ... + 43813.

It is an arithmetic number, because the mean of its divisors is an integer number (122125815).

Almost surely, 2^814007965 is an apocalyptic number.

It is an amenable number.

814007965 is a deficient number, since it is larger than the sum of its proper divisors (162998555).

814007965 is a wasteful number, since it uses less digits than its factorization.

814007965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32831.

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 814007965 is about 28530.8248215855. The cubic root of 814007965 is about 933.7047140956.

The spelling of 814007965 in words is "eight hundred fourteen million, seven thousand, nine hundred sixty-five".