1964 has 6 divisors (see below), whose sum is σ = 3444. Its totient is φ = 980.

The previous prime is 1951. The next prime is 1973. The reversal of 1964 is 4691.

1964 = 12² + 13² + ... + 19².

It is a plaindrome in base 12, base 15 and base 16.

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 242 + ... + 249.

It is an arithmetic number, because the mean of its divisors is an integer number (574).

It is an amenable number.

1964 is a deficient number, since it is larger than the sum of its proper divisors (1480).

1964 is a wasteful number, since it uses less digits than its factorization.

1964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 493 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

The square root of 1964 is about 44.3170396123. The cubic root of 1964 is about 12.5231570735.

It can be divided in two parts, 196 and 4, that multiplied together give a square (784 = 28²).

The spelling of 1964 in words is "one thousand, nine hundred sixty-four".