84933 has 6 divisors (see below), whose sum is σ = 122694. Its totient is φ = 56616.

The previous prime is 84919. The next prime is 84947. The reversal of 84933 is 33948.

It is an interprime number because it is at equal distance from previous prime (84919) and next prime (84947).

It can be written as a sum of positive squares in only one way, i.e., 74529 + 10404 = 273^2 + 102^2 .

It is not a de Polignac number, because 84933 - 2⁶ = 84869 is a prime.

It is a super-2 number, since 2×84933² = 14427228978, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84897 and 84906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84913) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4710 + ... + 4727.

It is an arithmetic number, because the mean of its divisors is an integer number (20449).

2⁸⁴⁹³³ is an apocalyptic number.

It is an amenable number.

84933 is a deficient number, since it is larger than the sum of its proper divisors (37761).

84933 is a wasteful number, since it uses less digits than its factorization.

84933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9443 (or 9440 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 84933 is about 291.4326680384. The cubic root of 84933 is about 43.9567412305.

The spelling of 84933 in words is "eighty-four thousand, nine hundred thirty-three".