47760541 has 2 divisors, whose sum is σ = 47760542. Its totient is φ = 47760540.

The previous prime is 47760527. The next prime is 47760551. The reversal of 47760541 is 14506774.

It is a happy number.

47760541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46977316 + 783225 = 6854^2 + 885^2 .

It is a cyclic number.

It is not a de Polignac number, because 47760541 - 2¹³ = 47752349 is a prime.

It is a super-2 number, since 2×47760541² = 4562138553225362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47760497 and 47760506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47760521) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23880270 + 23880271.

It is an arithmetic number, because the mean of its divisors is an integer number (23880271).

Almost surely, 2^47760541 is an apocalyptic number.

It is an amenable number.

47760541 is a deficient number, since it is larger than the sum of its proper divisors (1).

47760541 is an equidigital number, since it uses as much as digits as its factorization.

47760541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 47760541 is about 6910.9001584454. The cubic root of 47760541 is about 362.8187693064.

The spelling of 47760541 in words is "forty-seven million, seven hundred sixty thousand, five hundred forty-one".