133399 has 16 divisors (see below), whose sum is σ = 172800. Its totient is φ = 100224.

The previous prime is 133391. The next prime is 133403. The reversal of 133399 is 993331.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 133399 - 2³ = 133391 is a prime.

It is a Duffinian number.

133399 is a modest number, since divided by 399 gives 133 as remainder.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133391) 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 in 15 ways as a sum of consecutive naturals, for example, 2232 + ... + 2290.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2¹³³³⁹⁹ is an apocalyptic number.

133399 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

133399 is a deficient number, since it is larger than the sum of its proper divisors (39401).

133399 is a wasteful number, since it uses less digits than its factorization.

133399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102.

The product of its digits is 2187, while the sum is 28.

The square root of 133399 is about 365.2382783882. The cubic root of 133399 is about 51.0956809475.

The spelling of 133399 in words is "one hundred thirty-three thousand, three hundred ninety-nine".