303413 has 4 divisors (see below), whose sum is σ = 331008. Its totient is φ = 275820.

The previous prime is 303409. The next prime is 303421. The reversal of 303413 is 314303.

Added to its reverse (314303) it gives a triangular number (617716 = T₁₁₁₁).

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 314303 = 11 ⋅28573.

It is a cyclic number.

It is not a de Polignac number, because 303413 - 2² = 303409 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13781 + ... + 13802.

It is an arithmetic number, because the mean of its divisors is an integer number (82752).

2³⁰³⁴¹³ is an apocalyptic number.

It is an amenable number.

303413 is a deficient number, since it is larger than the sum of its proper divisors (27595).

303413 is a wasteful number, since it uses less digits than its factorization.

303413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27594.

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 303413 is about 550.8293746706. The cubic root of 303413 is about 67.1962021899.

Adding to 303413 its reverse (314303), we get a palindrome (617716).

It can be divided in two parts, 30 and 3413, that added together give a palindrome (3443).

The spelling of 303413 in words is "three hundred three thousand, four hundred thirteen".