4705577 has 2 divisors, whose sum is σ = 4705578. Its totient is φ = 4705576.

The previous prime is 4705573. The next prime is 4705579. The reversal of 4705577 is 7755074.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2920681 + 1784896 = 1709^2 + 1336^2 .

It is a cyclic number.

It is not a de Polignac number, because 4705577 - 2² = 4705573 is a prime.

Together with 4705579, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4705573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2352788 + 2352789.

It is an arithmetic number, because the mean of its divisors is an integer number (2352789).

Almost surely, 2^4705577 is an apocalyptic number.

It is an amenable number.

4705577 is a deficient number, since it is larger than the sum of its proper divisors (1).

4705577 is an equidigital number, since it uses as much as digits as its factorization.

4705577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34300, while the sum is 35.

The square root of 4705577 is about 2169.2341966694. The cubic root of 4705577 is about 167.5730964842.

The spelling of 4705577 in words is "four million, seven hundred five thousand, five hundred seventy-seven".