1682100027 has 40 divisors (see below), whose sum is σ = 2547789552. Its totient is φ = 1105876800.

The previous prime is 1682100019. The next prime is 1682100029. The reversal of 1682100027 is 7200012861.

It is not a de Polignac number, because 1682100027 - 2³ = 1682100019 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1682100029) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3648577 + ... + 3649037.

Almost surely, 2^1682100027 is an apocalyptic number.

1682100027 is a deficient number, since it is larger than the sum of its proper divisors (865689525).

1682100027 is a wasteful number, since it uses less digits than its factorization.

1682100027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1682100027 is about 41013.4127694831. The cubic root of 1682100027 is about 1189.2795175022.

Adding to 1682100027 its reverse (7200012861), we get a palindrome (8882112888).

The spelling of 1682100027 in words is "one billion, six hundred eighty-two million, one hundred thousand, twenty-seven".