5782131 has 16 divisors (see below), whose sum is σ = 8939520. Its totient is φ = 3686760.

The previous prime is 5782121. The next prime is 5782157. The reversal of 5782131 is 1312875.

5782131 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5782131 - 2¹⁰ = 5781107 is a prime.

It is a super-2 number, since 2×5782131² = 66866077802322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5782095 and 5782104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5782121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4035 + ... + 5276.

It is an arithmetic number, because the mean of its divisors is an integer number (558720).

Almost surely, 2^5782131 is an apocalyptic number.

5782131 is a deficient number, since it is larger than the sum of its proper divisors (3157389).

5782131 is a wasteful number, since it uses less digits than its factorization.

5782131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9343 (or 9337 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 5782131 is about 2404.6062047662. The cubic root of 5782131 is about 179.4854750909.

The spelling of 5782131 in words is "five million, seven hundred eighty-two thousand, one hundred thirty-one".