4628313 has 32 divisors (see below), whose sum is σ = 7430400. Its totient is φ = 2838528.

The previous prime is 4628311. The next prime is 4628317. The reversal of 4628313 is 3138264.

It is a happy number.

4628313 is a `hidden beast` number, since 4 + 628 + 31 + 3 = 666.

It is not a de Polignac number, because 4628313 - 2¹ = 4628311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4628311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17881 + ... + 18137.

It is an arithmetic number, because the mean of its divisors is an integer number (232200).

Almost surely, 2^4628313 is an apocalyptic number.

It is an amenable number.

4628313 is a deficient number, since it is larger than the sum of its proper divisors (2802087).

4628313 is a wasteful number, since it uses less digits than its factorization.

4628313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4628313 is about 2151.3514357259. The cubic root of 4628313 is about 166.6508656131.

It can be divided in two parts, 462 and 8313, that multiplied together give a triangular number (3840606 = T₂₇₇₁).

The spelling of 4628313 in words is "four million, six hundred twenty-eight thousand, three hundred thirteen".