2106819 has 24 divisors (see below), whose sum is σ = 3577392. Its totient is φ = 1177920.

The previous prime is 2106809. The next prime is 2106829. The reversal of 2106819 is 9186012.

It is an interprime number because it is at equal distance from previous prime (2106809) and next prime (2106829).

It is not a de Polignac number, because 2106819 - 2⁸ = 2106563 is a prime.

It is a super-2 number, since 2×2106819² = 8877372597522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2106792 and 2106801.

It is not an unprimeable number, because it can be changed into a prime (2106809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469 + ... + 2105.

It is an arithmetic number, because the mean of its divisors is an integer number (149058).

2^2106819 is an apocalyptic number.

2106819 is a deficient number, since it is larger than the sum of its proper divisors (1470573).

2106819 is a wasteful number, since it uses less digits than its factorization.

2106819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2106819 is about 1451.4885462862. The cubic root of 2106819 is about 128.1963741924.

It can be divided in two parts, 210681 and 9, that multiplied together give a square (1896129 = 1377²).

The spelling of 2106819 in words is "two million, one hundred six thousand, eight hundred nineteen".