84701 has 2 divisors, whose sum is σ = 84702. Its totient is φ = 84700.

The previous prime is 84697. The next prime is 84713. The reversal of 84701 is 10748.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62500 + 22201 = 250^2 + 149^2 .

It is a cyclic number.

It is not a de Polignac number, because 84701 - 2² = 84697 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84701.

It is not a weakly prime, because it can be changed into another prime (84731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42350 + 42351.

It is an arithmetic number, because the mean of its divisors is an integer number (42351).

2⁸⁴⁷⁰¹ is an apocalyptic number.

It is an amenable number.

84701 is a deficient number, since it is larger than the sum of its proper divisors (1).

84701 is an equidigital number, since it uses as much as digits as its factorization.

84701 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 84701 is about 291.0343622324. The cubic root of 84701 is about 43.9166811692.

Subtracting from 84701 its sum of digits (20), we obtain a square (84681 = 291²).

The spelling of 84701 in words is "eighty-four thousand, seven hundred one".