477313 has 2 divisors, whose sum is σ = 477314. Its totient is φ = 477312.

The previous prime is 477293. The next prime is 477317. The reversal of 477313 is 313774.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 473344 + 3969 = 688^2 + 63^2 .

It is a cyclic number.

It is not a de Polignac number, because 477313 - 2¹³ = 469121 is a prime.

It is not a weakly prime, because it can be changed into another prime (477317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 238656 + 238657.

It is an arithmetic number, because the mean of its divisors is an integer number (238657).

2⁴⁷⁷³¹³ is an apocalyptic number.

It is an amenable number.

477313 is a deficient number, since it is larger than the sum of its proper divisors (1).

477313 is an equidigital number, since it uses as much as digits as its factorization.

477313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1764, while the sum is 25.

The square root of 477313 is about 690.8784263530. The cubic root of 477313 is about 78.1509786671.

The spelling of 477313 in words is "four hundred seventy-seven thousand, three hundred thirteen".