2101965 has 16 divisors (see below), whose sum is σ = 3561408. Its totient is φ = 1054976.

The previous prime is 2101961. The next prime is 2102021. The reversal of 2101965 is 5691012.

It is a cyclic number.

It is not a de Polignac number, because 2101965 - 2² = 2101961 is a prime.

It is a super-2 number, since 2×2101965² = 8836513722450, which contains 22 as substring.

It is a Curzon number.

2101965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3867 + ... + 4376.

It is an arithmetic number, because the mean of its divisors is an integer number (222588).

2^2101965 is an apocalyptic number.

It is an amenable number.

2101965 is a deficient number, since it is larger than the sum of its proper divisors (1459443).

2101965 is a wasteful number, since it uses less digits than its factorization.

2101965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8268.

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 2101965 is about 1449.8155055041. The cubic root of 2101965 is about 128.0978459211.

Adding to 2101965 its reverse (5691012), we get a palindrome (7792977).

The spelling of 2101965 in words is "two million, one hundred one thousand, nine hundred sixty-five".