84712 has 8 divisors (see below), whose sum is σ = 158850. Its totient is φ = 42352.

The previous prime is 84701. The next prime is 84713. The reversal of 84712 is 21748.

It can be written as a sum of positive squares in only one way, i.e., 81796 + 2916 = 286^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×84712² = 14352245888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84713) by changing a digit.

84712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5287 + ... + 5302.

2⁸⁴⁷¹² is an apocalyptic number.

It is an amenable number.

84712 is a deficient number, since it is larger than the sum of its proper divisors (74138).

84712 is a wasteful number, since it uses less digits than its factorization.

84712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10595 (or 10591 counting only the distinct ones).

The product of its digits is 448, while the sum is 22.

The square root of 84712 is about 291.0532597309. The cubic root of 84712 is about 43.9185822195.

The spelling of 84712 in words is "eighty-four thousand, seven hundred twelve".