63984001 has 9 divisors (see below), whose sum is σ = 67689603. Its totient is φ = 60472440.

The previous prime is 63983951. The next prime is 63984007. The reversal of 63984001 is 10048936.

The square root of 63984001 is 7999.

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., 303601 + 63680400 = 551^2 + 7980^2 .

It is a de Polignac number, because none of the positive numbers 2^k-63984001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63984007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 151771 + ... + 152191.

It is an arithmetic number, because the mean of its divisors is an integer number (7521067).

Almost surely, 2^63984001 is an apocalyptic number.

63984001 is the 7999-th square number.

63984001 is the 4000-th centered octagonal number.

It is an amenable number.

63984001 is a deficient number, since it is larger than the sum of its proper divisors (3705602).

63984001 is an frugal number, since it uses more digits than its factorization.

63984001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The cubic root of 63984001 is about 399.9666659722.

Multiplying 63984001 by its product of nonzero digits (5184), we get a square (331693061184 = 575928²).

It can be divided in two parts, 63 and 984001, that added together give a square (984064 = 992²).

The spelling of 63984001 in words is "sixty-three million, nine hundred eighty-four thousand, one".