233417313 has 6 divisors (see below), whose sum is σ = 337158354. Its totient is φ = 155611536.

The previous prime is 233417311. The next prime is 233417329. The reversal of 233417313 is 313714332.

233417313 is a `hidden beast` number, since 2 + 3 + 341 + 7 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 216178209 + 17239104 = 14703^2 + 4152^2 .

It is not a de Polignac number, because 233417313 - 2¹ = 233417311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (233417311) 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, 12967620 + ... + 12967637.

It is an arithmetic number, because the mean of its divisors is an integer number (56193059).

Almost surely, 2^233417313 is an apocalyptic number.

It is an amenable number.

233417313 is a deficient number, since it is larger than the sum of its proper divisors (103741041).

233417313 is a wasteful number, since it uses less digits than its factorization.

233417313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25935263 (or 25935260 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 233417313 is about 15278.0009490771. Note that the first 3 decimals coincide. The cubic root of 233417313 is about 615.7120999973.

The spelling of 233417313 in words is "two hundred thirty-three million, four hundred seventeen thousand, three hundred thirteen".