54957667 has 2 divisors, whose sum is σ = 54957668. Its totient is φ = 54957666.

The previous prime is 54957647. The next prime is 54957673. The reversal of 54957667 is 76675945.

54957667 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 is a cyclic number.

It is not a de Polignac number, because 54957667 - 2¹⁵ = 54924899 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54957667.

It is not a weakly prime, because it can be changed into another prime (54957647) 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, 27478833 + 27478834.

It is an arithmetic number, because the mean of its divisors is an integer number (27478834).

Almost surely, 2^54957667 is an apocalyptic number.

54957667 is a deficient number, since it is larger than the sum of its proper divisors (1).

54957667 is an equidigital number, since it uses as much as digits as its factorization.

54957667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1587600, while the sum is 49.

The square root of 54957667 is about 7413.3438474146. The cubic root of 54957667 is about 380.1976511013.

The spelling of 54957667 in words is "fifty-four million, nine hundred fifty-seven thousand, six hundred sixty-seven".