63964 has 6 divisors (see below), whose sum is σ = 111944. Its totient is φ = 31980.

The previous prime is 63949. The next prime is 63977. The reversal of 63964 is 46936.

63964 = T₂₀₅ + T₂₀₆ + T₂₀₇.

63964 is nontrivially palindromic in base 3.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 7992 + ... + 7999.

2⁶³⁹⁶⁴ is an apocalyptic number.

63964 is the 207-th centered triangular number.

It is an amenable number.

63964 is a deficient number, since it is larger than the sum of its proper divisors (47980).

63964 is a wasteful number, since it uses less digits than its factorization.

63964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15995 (or 15993 counting only the distinct ones).

The product of its digits is 3888, while the sum is 28.

The square root of 63964 is about 252.9110515577. The cubic root of 63964 is about 39.9924985933.

Subtracting from 63964 its sum of digits (28), we obtain a palindrome (63936).

It can be divided in two parts, 6396 and 4, that added together give a square (6400 = 80²).

The spelling of 63964 in words is "sixty-three thousand, nine hundred sixty-four".