581197 has 2 divisors, whose sum is σ = 581198. Its totient is φ = 581196.

The previous prime is 581183. The next prime is 581201. The reversal of 581197 is 791185.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 443556 + 137641 = 666^2 + 371^2 .

It is a cyclic number.

It is not a de Polignac number, because 581197 - 2⁷ = 581069 is a prime.

581197 is a lucky number.

It is equal to p₄₇₆₇₇ and since 581197 and 47677 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (581137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 290598 + 290599.

It is an arithmetic number, because the mean of its divisors is an integer number (290599).

2⁵⁸¹¹⁹⁷ is an apocalyptic number.

581197 is the 408-th centered heptagonal number.

It is an amenable number.

581197 is a deficient number, since it is larger than the sum of its proper divisors (1).

581197 is an equidigital number, since it uses as much as digits as its factorization.

581197 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2520, while the sum is 31.

The square root of 581197 is about 762.3627745372. The cubic root of 581197 is about 83.4528400912.

The spelling of 581197 in words is "five hundred eighty-one thousand, one hundred ninety-seven".