2164149 has 24 divisors (see below), whose sum is σ = 3439800. Its totient is φ = 1302912.

The previous prime is 2164121. The next prime is 2164171. The reversal of 2164149 is 9414612.

It can be written as a sum of positive squares in 4 ways, for example, as 381924 + 1782225 = 618^2 + 1335^2 .

It is not a de Polignac number, because 2164149 - 2¹⁷ = 2033077 is a prime.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2160149) 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, 6027 + ... + 6375.

It is an arithmetic number, because the mean of its divisors is an integer number (143325).

2^2164149 is an apocalyptic number.

It is an amenable number.

2164149 is a deficient number, since it is larger than the sum of its proper divisors (1275651).

2164149 is a wasteful number, since it uses less digits than its factorization.

2164149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 418 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2164149 is about 1471.1046869615. The cubic root of 2164149 is about 129.3487946644.

The spelling of 2164149 in words is "two million, one hundred sixty-four thousand, one hundred forty-nine".