123958133 has 8 divisors (see below), whose sum is σ = 134267448. Its totient is φ = 113759424.

The previous prime is 123958127. The next prime is 123958141. The reversal of 123958133 is 331859321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 57486724 + 66471409 = 7582^2 + 8153^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 123958133 - 2¹⁰ = 123957109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123958093 and 123958102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123958123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25310 + ... + 29807.

It is an arithmetic number, because the mean of its divisors is an integer number (16783431).

Almost surely, 2^123958133 is an apocalyptic number.

123958133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123958133 is a deficient number, since it is larger than the sum of its proper divisors (10309315).

123958133 is a wasteful number, since it uses less digits than its factorization.

123958133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55303.

The product of its digits is 19440, while the sum is 35.

The square root of 123958133 is about 11133.6486831586. The cubic root of 123958133 is about 498.6069665198.

The spelling of 123958133 in words is "one hundred twenty-three million, nine hundred fifty-eight thousand, one hundred thirty-three".