138406333 has 16 divisors (see below), whose sum is σ = 158865840. Its totient is φ = 119448576.

The previous prime is 138406313. The next prime is 138406337. The reversal of 138406333 is 333604831.

It can be written as a sum of positive squares in 8 ways, for example, as 3892729 + 134513604 = 1973^2 + 11598^2 .

It is not a de Polignac number, because 138406333 - 2⁹ = 138405821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138406295 and 138406304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138406337) 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, 32703 + ... + 36691.

It is an arithmetic number, because the mean of its divisors is an integer number (9929115).

Almost surely, 2^138406333 is an apocalyptic number.

138406333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

138406333 is a deficient number, since it is larger than the sum of its proper divisors (20459507).

138406333 is a wasteful number, since it uses less digits than its factorization.

138406333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4176.

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 138406333 is about 11764.6220933781. The cubic root of 138406333 is about 517.2716230355.

The spelling of 138406333 in words is "one hundred thirty-eight million, four hundred six thousand, three hundred thirty-three".