387353 has 12 divisors (see below), whose sum is σ = 434340. Its totient is φ = 344736.

The previous prime is 387341. The next prime is 387371. The reversal of 387353 is 353783.

It can be written as a sum of positive squares in 2 ways, for example, as 283024 + 104329 = 532^2 + 323^2 .

It is not a de Polignac number, because 387353 - 2¹⁰ = 386329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10451 + ... + 10487.

It is an arithmetic number, because the mean of its divisors is an integer number (36195).

2³⁸⁷³⁵³ is an apocalyptic number.

It is an amenable number.

387353 is a deficient number, since it is larger than the sum of its proper divisors (46987).

387353 is a wasteful number, since it uses less digits than its factorization.

387353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 85 counting only the distinct ones).

The product of its digits is 7560, while the sum is 29.

The square root of 387353 is about 622.3768954580. The cubic root of 387353 is about 72.8957666722.

The spelling of 387353 in words is "three hundred eighty-seven thousand, three hundred fifty-three".