83557 has 2 divisors, whose sum is σ = 83558. Its totient is φ = 83556.

The previous prime is 83537. The next prime is 83561. The reversal of 83557 is 75538.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83521 + 36 = 289^2 + 6^2 .

It is a cyclic number.

It is not a de Polignac number, because 83557 - 2¹¹ = 81509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41778 + 41779.

It is an arithmetic number, because the mean of its divisors is an integer number (41779).

2⁸³⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

83557 is a deficient number, since it is larger than the sum of its proper divisors (1).

83557 is an equidigital number, since it uses as much as digits as its factorization.

83557 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4200, while the sum is 28.

The square root of 83557 is about 289.0622770269. The cubic root of 83557 is about 43.7180664930.

It can be divided in two parts, 8355 and 7, that multiplied together give a palindrome (58485).

The spelling of 83557 in words is "eighty-three thousand, five hundred fifty-seven".