84753 has 16 divisors (see below), whose sum is σ = 130240. Its totient is φ = 54432.

The previous prime is 84751. The next prime is 84761. The reversal of 84753 is 35748.

It is not a de Polignac number, because 84753 - 2¹ = 84751 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84751) 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 15 ways as a sum of consecutive naturals, for example, 1125 + ... + 1197.

It is an arithmetic number, because the mean of its divisors is an integer number (8140).

2⁸⁴⁷⁵³ is an apocalyptic number.

It is an amenable number.

84753 is a deficient number, since it is larger than the sum of its proper divisors (45487).

84753 is a wasteful number, since it uses less digits than its factorization.

84753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 84753 is about 291.1236850550. The cubic root of 84753 is about 43.9256665029.

It can be divided in two parts, 8475 and 3, that multiplied together give a triangular number (25425 = T₂₂₅).

The spelling of 84753 in words is "eighty-four thousand, seven hundred fifty-three".