35313 has 8 divisors (see below), whose sum is σ = 48000. Its totient is φ = 23088.

The previous prime is 35311. The next prime is 35317. The reversal of 35313 is 31353.

35313 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 35313 - 2¹ = 35311 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 35292 and 35301.

It is not an unprimeable number, because it can be changed into a prime (35311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (6000).

2³⁵³¹³ is an apocalyptic number.

It is an amenable number.

35313 is a deficient number, since it is larger than the sum of its proper divisors (12687).

35313 is a wasteful number, since it uses less digits than its factorization.

35313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231.

The product of its digits is 135, while the sum is 15.

The square root of 35313 is about 187.9175351052. The cubic root of 35313 is about 32.8078827970.

Adding to 35313 its reverse (31353), we get a palindrome (66666).

The spelling of 35313 in words is "thirty-five thousand, three hundred thirteen".