2101671 has 48 divisors (see below), whose sum is σ = 3773952. Its totient is φ = 1108800.

The previous prime is 2101669. The next prime is 2101681. The reversal of 2101671 is 1761012.

It is not a de Polignac number, because 2101671 - 2¹ = 2101669 is a prime.

2101671 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29566 + ... + 29636.

It is an arithmetic number, because the mean of its divisors is an integer number (78624).

2^2101671 is an apocalyptic number.

2101671 is a deficient number, since it is larger than the sum of its proper divisors (1672281).

2101671 is a wasteful number, since it uses less digits than its factorization.

2101671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 2101671 is about 1449.7141097472. The cubic root of 2101671 is about 128.0918733315.

Adding to 2101671 its reverse (1761012), we get a palindrome (3862683).

It can be divided in two parts, 2101 and 671, that added together give a palindrome (2772).

The spelling of 2101671 in words is "two million, one hundred one thousand, six hundred seventy-one".