2116377 has 12 divisors (see below), whose sum is σ = 3085524. Its totient is φ = 1397760.

The previous prime is 2116357. The next prime is 2116393. The reversal of 2116377 is 7736112.

2116377 is a `hidden beast` number, since 21 + 1 + 637 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 318096 + 1798281 = 564^2 + 1341^2 .

It is not a de Polignac number, because 2116377 - 2¹⁸ = 1854233 is a prime.

It is a super-2 number, since 2×2116377² = 8958103212258, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2²¹ + 1 + 1 + 6 + 3² + 7⁴ + 7⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 2116377.

It is not an unprimeable number, because it can be changed into a prime (2116307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24 + ... + 2057.

It is an arithmetic number, because the mean of its divisors is an integer number (257127).

2^2116377 is an apocalyptic number.

It is an amenable number.

2116377 is a deficient number, since it is larger than the sum of its proper divisors (969147).

2116377 is a wasteful number, since it uses less digits than its factorization.

2116377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2197 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 2116377 is about 1454.7773025450. Note that the first 3 decimals coincide. The cubic root of 2116377 is about 128.3899444770.

The spelling of 2116377 in words is "two million, one hundred sixteen thousand, three hundred seventy-seven".