1682127132 has 48 divisors (see below), whose sum is σ = 4487680512. Its totient is φ = 480392640.

The previous prime is 1682127127. The next prime is 1682127137. The reversal of 1682127132 is 2317212861.

It is an interprime number because it is at equal distance from previous prime (1682127127) and next prime (1682127137).

It is a junction number, because it is equal to n+sod(n) for n = 1682127093 and 1682127102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682127137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353038 + ... + 357770.

It is an arithmetic number, because the mean of its divisors is an integer number (93493344).

Almost surely, 2^1682127132 is an apocalyptic number.

1682127132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1682127132 is an abundant number, since it is smaller than the sum of its proper divisors (2805553380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1682127132 is a wasteful number, since it uses less digits than its factorization.

1682127132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8978 (or 8976 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 1682127132 is about 41013.7432088318. The cubic root of 1682127132 is about 1189.2859053998.

Adding to 1682127132 its reverse (2317212861), we get a palindrome (3999339993).

The spelling of 1682127132 in words is "one billion, six hundred eighty-two million, one hundred twenty-seven thousand, one hundred thirty-two".