2101953 has 24 divisors (see below), whose sum is σ = 3319680. Its totient is φ = 1179360.

The previous prime is 2101909. The next prime is 2101961. The reversal of 2101953 is 3591012.

It is not a de Polignac number, because 2101953 - 2¹⁰ = 2100929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101903) 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, 11523 + ... + 11703.

It is an arithmetic number, because the mean of its divisors is an integer number (138320).

2^2101953 is an apocalyptic number.

It is an amenable number.

2101953 is a deficient number, since it is larger than the sum of its proper divisors (1217727).

2101953 is a wasteful number, since it uses less digits than its factorization.

2101953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 2101953 is about 1449.8113670406. The cubic root of 2101953 is about 128.0976021529.

Adding to 2101953 its reverse (3591012), we get a palindrome (5692965).

The spelling of 2101953 in words is "two million, one hundred one thousand, nine hundred fifty-three".