84501 has 12 divisors (see below), whose sum is σ = 125580. Its totient is φ = 54720.

The previous prime is 84499. The next prime is 84503. The reversal of 84501 is 10548.

It is an interprime number because it is at equal distance from previous prime (84499) and next prime (84503).

It can be written as a sum of positive squares in 2 ways, for example, as 40401 + 44100 = 201^2 + 210^2 .

It is not a de Polignac number, because 84501 - 2¹ = 84499 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84503) by changing a digit.

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 in 11 ways as a sum of consecutive naturals, for example, 255 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (10465).

2⁸⁴⁵⁰¹ is an apocalyptic number.

It is an amenable number.

84501 is a deficient number, since it is larger than the sum of its proper divisors (41079).

84501 is a wasteful number, since it uses less digits than its factorization.

84501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 84501 is about 290.6905571222. The cubic root of 84501 is about 43.8820878802.

It can be divided in two parts, 84 and 501, that added together give a palindrome (585).

The spelling of 84501 in words is "eighty-four thousand, five hundred one".