84964 has 12 divisors (see below), whose sum is σ = 162288. Its totient is φ = 38600.

The previous prime is 84961. The next prime is 84967. The reversal of 84964 is 46948.

It is an interprime number because it is at equal distance from previous prime (84961) and next prime (84967).

It is not an unprimeable number, because it can be changed into a prime (84961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 922 + ... + 1009.

It is an arithmetic number, because the mean of its divisors is an integer number (13524).

2⁸⁴⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

84964 is a deficient number, since it is larger than the sum of its proper divisors (77324).

84964 is a wasteful number, since it uses less digits than its factorization.

84964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1944 counting only the distinct ones).

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

The square root of 84964 is about 291.4858487131. The cubic root of 84964 is about 43.9620885561.

The spelling of 84964 in words is "eighty-four thousand, nine hundred sixty-four".