87583 has 2 divisors, whose sum is σ = 87584. Its totient is φ = 87582.

The previous prime is 87559. The next prime is 87587. The reversal of 87583 is 38578.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 87583 - 2⁹ = 87071 is a prime.

87583 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (87587) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43791 + 43792.

It is an arithmetic number, because the mean of its divisors is an integer number (43792).

2⁸⁷⁵⁸³ is an apocalyptic number.

87583 is a deficient number, since it is larger than the sum of its proper divisors (1).

87583 is an equidigital number, since it uses as much as digits as its factorization.

87583 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6720, while the sum is 31.

The square root of 87583 is about 295.9442515069. The cubic root of 87583 is about 44.4092329905.

It can be divided in two parts, 87 and 583, that multiplied together give a triangular number (50721 = T₃₁₈).

The spelling of 87583 in words is "eighty-seven thousand, five hundred eighty-three".