133315 has 16 divisors (see below), whose sum is σ = 197568. Its totient is φ = 84096.

The previous prime is 133303. The next prime is 133319. The reversal of 133315 is 513331.

133315 = 91² + 92² + ... + 104².

It is a cyclic number.

It is not a de Polignac number, because 133315 - 2⁵ = 133283 is a prime.

133315 is a lucky number.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309 + ... + 601.

It is an arithmetic number, because the mean of its divisors is an integer number (12348).

2¹³³³¹⁵ is an apocalyptic number.

133315 is a deficient number, since it is larger than the sum of its proper divisors (64253).

133315 is a wasteful number, since it uses less digits than its factorization.

133315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318.

The product of its digits is 135, while the sum is 16.

The square root of 133315 is about 365.1232668566. The cubic root of 133315 is about 51.0849538845.

Adding to 133315 its sum of digits (16), we get a palindrome (133331).

Adding to 133315 its reverse (513331), we get a palindrome (646646).

The spelling of 133315 in words is "one hundred thirty-three thousand, three hundred fifteen".