48964 has 6 divisors (see below), whose sum is σ = 85694. Its totient is φ = 24480.

The previous prime is 48953. The next prime is 48973. The reversal of 48964 is 46984.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 12100 = 192^2 + 110^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6117 + ... + 6124.

2⁴⁸⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

48964 is a deficient number, since it is larger than the sum of its proper divisors (36730).

48964 is a wasteful number, since it uses less digits than its factorization.

48964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12245 (or 12243 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 48964 is about 221.2781055595. The cubic root of 48964 is about 36.5840933397.

It can be divided in two parts, 4896 and 4, that added together give a square (4900 = 70²).

The spelling of 48964 in words is "forty-eight thousand, nine hundred sixty-four".