1682131224 has 32 divisors (see below), whose sum is σ = 4206600000. Its totient is φ = 560540832.

The previous prime is 1682131177. The next prime is 1682131229. The reversal of 1682131224 is 4221312861.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1682131191 and 1682131200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682131229) 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 in 7 ways as a sum of consecutive naturals, for example, 89827 + ... + 106925.

It is an arithmetic number, because the mean of its divisors is an integer number (131456250).

Almost surely, 2^1682131224 is an apocalyptic number.

It is an amenable number.

1682131224 is an abundant number, since it is smaller than the sum of its proper divisors (2524468776).

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

1682131224 is a wasteful number, since it uses less digits than its factorization.

1682131224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21207 (or 21203 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 1682131224 is about 41013.7930945188. The cubic root of 1682131224 is about 1189.2868697649.

The spelling of 1682131224 in words is "one billion, six hundred eighty-two million, one hundred thirty-one thousand, two hundred twenty-four".