1687164311 has 16 divisors (see below), whose sum is σ = 1979596800. Its totient is φ = 1407909120.

The previous prime is 1687164301. The next prime is 1687164329. The reversal of 1687164311 is 1134617861.

It is a cyclic number.

It is not a de Polignac number, because 1687164311 - 2¹⁴ = 1687147927 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1687164301) 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, 49415 + ... + 76263.

It is an arithmetic number, because the mean of its divisors is an integer number (123724800).

Almost surely, 2^1687164311 is an apocalyptic number.

1687164311 is a deficient number, since it is larger than the sum of its proper divisors (292432489).

1687164311 is a wasteful number, since it uses less digits than its factorization.

1687164311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27094.

The product of its digits is 24192, while the sum is 38.

The square root of 1687164311 is about 41075.1057332784. The cubic root of 1687164311 is about 1190.4718395821.

The spelling of 1687164311 in words is "one billion, six hundred eighty-seven million, one hundred sixty-four thousand, three hundred eleven".