5787541 has 2 divisors, whose sum is σ = 5787542. Its totient is φ = 5787540.

The previous prime is 5787511. The next prime is 5787563. The reversal of 5787541 is 1457875.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3048516 + 2739025 = 1746^2 + 1655^2 .

It is a cyclic number.

It is not a de Polignac number, because 5787541 - 2¹³ = 5779349 is a prime.

It is equal to p₃₉₉₁₉₆ and since 5787541 and 399196 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5787541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5787511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2893770 + 2893771.

It is an arithmetic number, because the mean of its divisors is an integer number (2893771).

Almost surely, 2^5787541 is an apocalyptic number.

It is an amenable number.

5787541 is a deficient number, since it is larger than the sum of its proper divisors (1).

5787541 is an equidigital number, since it uses as much as digits as its factorization.

5787541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 39200, while the sum is 37.

The square root of 5787541 is about 2405.7308660779. The cubic root of 5787541 is about 179.5414356434.

It can be divided in two parts, 5787 and 541, that added together give a triangular number (6328 = T₁₁₂).

The spelling of 5787541 in words is "five million, seven hundred eighty-seven thousand, five hundred forty-one".