4705541 has 2 divisors, whose sum is σ = 4705542. Its totient is φ = 4705540.

The previous prime is 4705537. The next prime is 4705543. The reversal of 4705541 is 1455074.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2989441 + 1716100 = 1729^2 + 1310^2 .

It is a cyclic number.

It is not a de Polignac number, because 4705541 - 2² = 4705537 is a prime.

It is a super-2 number, since 2×4705541² = 44284232205362, which contains 22 as substring.

Together with 4705543, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4705541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4705543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2352770 + 2352771.

It is an arithmetic number, because the mean of its divisors is an integer number (2352771).

Almost surely, 2^4705541 is an apocalyptic number.

4705541 is the 1160-th centered heptagonal number.

It is an amenable number.

4705541 is a deficient number, since it is larger than the sum of its proper divisors (1).

4705541 is an equidigital number, since it uses as much as digits as its factorization.

4705541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 4705541 is about 2169.2258987943. The cubic root of 4705541 is about 167.5726691440.

The spelling of 4705541 in words is "four million, seven hundred five thousand, five hundred forty-one".