384577 has 2 divisors, whose sum is σ = 384578. Its totient is φ = 384576.

The previous prime is 384547. The next prime is 384581. The reversal of 384577 is 775483.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 194481 + 190096 = 441^2 + 436^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-384577 is a prime.

It is an Ulam number.

384577 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (384547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192288 + 192289.

It is an arithmetic number, because the mean of its divisors is an integer number (192289).

2³⁸⁴⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

384577 is a deficient number, since it is larger than the sum of its proper divisors (1).

384577 is an equidigital number, since it uses as much as digits as its factorization.

384577 is an evil number, because the sum of its binary digits is even.

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

The square root of 384577 is about 620.1427255076. The cubic root of 384577 is about 72.7212110005.

It can be divided in two parts, 3845 and 77, that multiplied together give a triangular number (296065 = T₇₆₉).

The spelling of 384577 in words is "three hundred eighty-four thousand, five hundred seventy-seven".