64084 has 12 divisors (see below), whose sum is σ = 115444. Its totient is φ = 31104.

The previous prime is 64081. The next prime is 64091. The reversal of 64084 is 48046.

64084 = T₁₇₇ + T₁₇₈ + ... + T₁₈₀.

It can be written as a sum of positive squares in 2 ways, for example, as 32400 + 31684 = 180^2 + 178^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64081) 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, 69 + ... + 364.

2⁶⁴⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

64084 is a deficient number, since it is larger than the sum of its proper divisors (51360).

64084 is a wasteful number, since it uses less digits than its factorization.

64084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 64084 is about 253.1481779512. The cubic root of 64084 is about 40.0174923493.

The spelling of 64084 in words is "sixty-four thousand, eighty-four".