2077753 has 2 divisors, whose sum is σ = 2077754. Its totient is φ = 2077752.

The previous prime is 2077711. The next prime is 2077769. The reversal of 2077753 is 3577702.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1721344 + 356409 = 1312^2 + 597^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2077753 is a prime.

It is a d-powerful number, because it can be written as 2¹¹ + 0 + 7³ + 7⁴ + 7⁶ + 5⁹ + 3⁷ .

2077753 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (2077703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1038876 + 1038877.

It is an arithmetic number, because the mean of its divisors is an integer number (1038877).

2^2077753 is an apocalyptic number.

It is an amenable number.

2077753 is a deficient number, since it is larger than the sum of its proper divisors (1).

2077753 is an equidigital number, since it uses as much as digits as its factorization.

2077753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10290, while the sum is 31.

The square root of 2077753 is about 1441.4412925957. The cubic root of 2077753 is about 127.6041031100.

The spelling of 2077753 in words is "two million, seventy-seven thousand, seven hundred fifty-three".