387953 has 2 divisors, whose sum is σ = 387954. Its totient is φ = 387952.

The previous prime is 387917. The next prime is 387967. The reversal of 387953 is 359783.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 277729 + 110224 = 527^2 + 332^2 .

It is an emirp because it is prime and its reverse (359783) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 387953 - 2¹⁶ = 322417 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (387913) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 193976 + 193977.

It is an arithmetic number, because the mean of its divisors is an integer number (193977).

2³⁸⁷⁹⁵³ is an apocalyptic number.

It is an amenable number.

387953 is a deficient number, since it is larger than the sum of its proper divisors (1).

387953 is an equidigital number, since it uses as much as digits as its factorization.

387953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 22680, while the sum is 35.

The square root of 387953 is about 622.8587319770. The cubic root of 387953 is about 72.9333851551.

The spelling of 387953 in words is "three hundred eighty-seven thousand, nine hundred fifty-three".