63977313 has 16 divisors (see below), whose sum is σ = 90881280. Its totient is φ = 39916944.

The previous prime is 63977311. The next prime is 63977321. The reversal of 63977313 is 31377936.

63977313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 63977313 - 2¹ = 63977311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (63977311) 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 15 ways as a sum of consecutive naturals, for example, 2031 + ... + 11492.

It is an arithmetic number, because the mean of its divisors is an integer number (5680080).

Almost surely, 2^63977313 is an apocalyptic number.

It is an amenable number.

63977313 is a deficient number, since it is larger than the sum of its proper divisors (26903967).

63977313 is a wasteful number, since it uses less digits than its factorization.

63977313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13628.

The product of its digits is 71442, while the sum is 39.

The square root of 63977313 is about 7998.5819368186. The cubic root of 63977313 is about 399.9527298307.

The spelling of 63977313 in words is "sixty-three million, nine hundred seventy-seven thousand, three hundred thirteen".