290313 has 6 divisors (see below), whose sum is σ = 419354. Its totient is φ = 193536.

The previous prime is 290249. The next prime is 290317. The reversal of 290313 is 313092.

It can be written as a sum of positive squares in only one way, i.e., 219024 + 71289 = 468^2 + 267^2 .

It is not a de Polignac number, because 290313 - 2⁶ = 290249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 290313.

It is not an unprimeable number, because it can be changed into a prime (290317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16120 + ... + 16137.

2²⁹⁰³¹³ is an apocalyptic number.

It is an amenable number.

290313 is a deficient number, since it is larger than the sum of its proper divisors (129041).

290313 is a wasteful number, since it uses less digits than its factorization.

290313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32263 (or 32260 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 290313 is about 538.8070155445. The cubic root of 290313 is about 66.2148644831.

It can be divided in two parts, 2903 and 13, that added together give a square (2916 = 54²).

The spelling of 290313 in words is "two hundred ninety thousand, three hundred thirteen".