83773 has 2 divisors, whose sum is σ = 83774. Its totient is φ = 83772.

The previous prime is 83761. The next prime is 83777. The reversal of 83773 is 37738.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68644 + 15129 = 262^2 + 123^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83773 is a prime.

83773 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41886 + 41887.

It is an arithmetic number, because the mean of its divisors is an integer number (41887).

2⁸³⁷⁷³ is an apocalyptic number.

It is an amenable number.

83773 is a deficient number, since it is larger than the sum of its proper divisors (1).

83773 is an equidigital number, since it uses as much as digits as its factorization.

83773 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3528, while the sum is 28.

The square root of 83773 is about 289.4356577894. The cubic root of 83773 is about 43.7557053784.

The spelling of 83773 in words is "eighty-three thousand, seven hundred seventy-three".