3777073 has 2 divisors, whose sum is σ = 3777074. Its totient is φ = 3777072.

The previous prime is 3777049. The next prime is 3777089. The reversal of 3777073 is 3707773.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3125824 + 651249 = 1768^2 + 807^2 .

It is an emirp because it is prime and its reverse (3707773) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3777073 - 2¹⁷ = 3646001 is a prime.

3777073 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (3777013) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1888536 + 1888537.

It is an arithmetic number, because the mean of its divisors is an integer number (1888537).

Almost surely, 2^3777073 is an apocalyptic number.

It is an amenable number.

3777073 is a deficient number, since it is larger than the sum of its proper divisors (1).

3777073 is an equidigital number, since it uses as much as digits as its factorization.

3777073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21609, while the sum is 34.

The square root of 3777073 is about 1943.4693205708. The cubic root of 3777073 is about 155.7346051856.

The spelling of 3777073 in words is "three million, seven hundred seventy-seven thousand, seventy-three".