84752 has 10 divisors (see below), whose sum is σ = 164238. Its totient is φ = 42368.

The previous prime is 84751. The next prime is 84761. The reversal of 84752 is 25748.

It can be written as a sum of positive squares in only one way, i.e., 80656 + 4096 = 284^2 + 64^2 .

It is not an unprimeable number, because it can be changed into a prime (84751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2633 + ... + 2664.

2⁸⁴⁷⁵² is an apocalyptic number.

It is an amenable number.

84752 is a deficient number, since it is larger than the sum of its proper divisors (79486).

84752 is a wasteful number, since it uses less digits than its factorization.

84752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5305 (or 5299 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 84752 is about 291.1219675669. The cubic root of 84752 is about 43.9254937427.

It can be divided in two parts, 847 and 52, that multiplied together give a palindrome (44044).

The spelling of 84752 in words is "eighty-four thousand, seven hundred fifty-two".