387413 has 8 divisors (see below), whose sum is σ = 442008. Its totient is φ = 336384.

The previous prime is 387403. The next prime is 387433. The reversal of 387413 is 314783.

It can be written as a sum of positive squares in 4 ways, for example, as 529 + 386884 = 23^2 + 622^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 387413 - 2⁴ = 387397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 387413.

It is not an unprimeable number, because it can be changed into a prime (387403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 656 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (55251).

2³⁸⁷⁴¹³ is an apocalyptic number.

It is an amenable number.

387413 is a deficient number, since it is larger than the sum of its proper divisors (54595).

387413 is a wasteful number, since it uses less digits than its factorization.

387413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783.

The product of its digits is 2016, while the sum is 26.

The square root of 387413 is about 622.4250958951. The cubic root of 387413 is about 72.8995302678.

The spelling of 387413 in words is "three hundred eighty-seven thousand, four hundred thirteen".