301413 has 16 divisors (see below), whose sum is σ = 475136. Its totient is φ = 166320.

The previous prime is 301409. The next prime is 301423. The reversal of 301413 is 314103.

301413 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 301413 - 2² = 301409 is a prime.

It is a Duffinian number.

301413 is a Rhonda number in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420 + ... + 882.

It is an arithmetic number, because the mean of its divisors is an integer number (29696).

2³⁰¹⁴¹³ is an apocalyptic number.

It is an amenable number.

301413 is a deficient number, since it is larger than the sum of its proper divisors (173723).

301413 is a wasteful number, since it uses less digits than its factorization.

301413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 301413 is about 549.0109288530. The cubic root of 301413 is about 67.0482314033.

Subtracting from 301413 its sum of digits (12), we obtain a square (301401 = 549²).

Adding to 301413 its reverse (314103), we get a palindrome (615516).

The spelling of 301413 in words is "three hundred one thousand, four hundred thirteen".