63968005 has 8 divisors (see below), whose sum is σ = 78836472. Its totient is φ = 49791168.

The previous prime is 63967993. The next prime is 63968027. The reversal of 63968005 is 50086936.

It is a Cunningham number, because it is equal to 7998²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 23020804 + 40947201 = 4798^2 + 6399^2 .

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 63968005 - 2⁹ = 63967493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172702 + ... + 173071.

It is an arithmetic number, because the mean of its divisors is an integer number (9854559).

Almost surely, 2^63968005 is an apocalyptic number.

It is an amenable number.

63968005 is a deficient number, since it is larger than the sum of its proper divisors (14868467).

63968005 is a wasteful number, since it uses less digits than its factorization.

63968005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345815.

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 63968005 is about 7998.0000625156. Note that the first 4 decimals coincide. The cubic root of 63968005 is about 399.9333326393.

It can be divided in two parts, 639 and 68005, that added together give a square (68644 = 262²).

The spelling of 63968005 in words is "sixty-three million, nine hundred sixty-eight thousand, five".