380013 has 8 divisors (see below), whose sum is σ = 510048. Its totient is φ = 251664.

The previous prime is 379999. The next prime is 380041. The reversal of 380013 is 310083.

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

It is not a de Polignac number, because 380013 - 2⁴ = 379997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 379974 and 380001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380713) 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, 270 + ... + 912.

It is an arithmetic number, because the mean of its divisors is an integer number (63756).

2³⁸⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

380013 is a deficient number, since it is larger than the sum of its proper divisors (130035).

380013 is a wasteful number, since it uses less digits than its factorization.

380013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 380013 is about 616.4519445991. The cubic root of 380013 is about 72.4323903990.

Adding to 380013 its reverse (310083), we get a palindrome (690096).

It can be divided in two parts, 38001 and 3, that multiplied together give a triangular number (114003 = T₄₇₇).

The spelling of 380013 in words is "three hundred eighty thousand, thirteen".