83701 has 2 divisors, whose sum is σ = 83702. Its totient is φ = 83700.

The previous prime is 83689. The next prime is 83717. The reversal of 83701 is 10738.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 39601 = 210^2 + 199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83701 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41850 + 41851.

It is an arithmetic number, because the mean of its divisors is an integer number (41851).

2⁸³⁷⁰¹ is an apocalyptic number.

It is an amenable number.

83701 is a deficient number, since it is larger than the sum of its proper divisors (1).

83701 is an equidigital number, since it uses as much as digits as its factorization.

83701 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 83701 is about 289.3112510775. The cubic root of 83701 is about 43.7431662796.

It can be divided in two parts, 83 and 701, that added together give a square (784 = 28²).

The spelling of 83701 in words is "eighty-three thousand, seven hundred one".