1382442831 has 144 divisors (see below), whose sum is σ = 2727354240. Its totient is φ = 665159040.

The previous prime is 1382442811. The next prime is 1382442863.

It is a happy number.

1382442831 is a `hidden beast` number, since 138 + 2 + 442 + 83 + 1 = 666.

1382442831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1382442831 - 2⁹ = 1382442319 is a prime.

It is a super-2 number, since 2×1382442831² = 3822296361966589122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382442811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4884816 + ... + 4885098.

It is an arithmetic number, because the mean of its divisors is an integer number (18939960).

Almost surely, 2^1382442831 is an apocalyptic number.

1382442831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1382442831 is a deficient number, since it is larger than the sum of its proper divisors (1344911409).

1382442831 is a wasteful number, since it uses less digits than its factorization.

1382442831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 1382442831 is about 37181.2161043718. The cubic root of 1382442831 is about 1113.9928248031.

It can be divided in two parts, 138 and 2442831, that added together give a square (2442969 = 1563²).

The spelling of 1382442831 in words is "one billion, three hundred eighty-two million, four hundred forty-two thousand, eight hundred thirty-one".