202591 has 2 divisors, whose sum is σ = 202592. Its totient is φ = 202590.

The previous prime is 202577. The next prime is 202613. The reversal of 202591 is 195202.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 202591 - 2¹⁵ = 169823 is a prime.

It is a super-2 number, since 2×202591² = 82086226562, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101295 + 101296.

It is an arithmetic number, because the mean of its divisors is an integer number (101296).

2²⁰²⁵⁹¹ is an apocalyptic number.

202591 is a deficient number, since it is larger than the sum of its proper divisors (1).

202591 is an equidigital number, since it uses as much as digits as its factorization.

202591 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 202591 is about 450.1010997543. The cubic root of 202591 is about 58.7318096695.

Adding to 202591 its reverse (195202), we get a palindrome (397793).

It can be divided in two parts, 2025 and 91, that added together give a square (2116 = 46²).

The spelling of 202591 in words is "two hundred two thousand, five hundred ninety-one".