123633081 has 96 divisors (see below), whose sum is σ = 225227520. Its totient is φ = 66528000.

The previous prime is 123633079. The next prime is 123633091. The reversal of 123633081 is 180336321.

It is a happy number.

123633081 is a `hidden beast` number, since 1 + 23 + 633 + 0 + 8 + 1 = 666.

It is not a de Polignac number, because 123633081 - 2¹ = 123633079 is a prime.

It is a super-2 number, since 2×123633081² = 30570277435105122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123633011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1741276 + ... + 1741346.

It is an arithmetic number, because the mean of its divisors is an integer number (2346120).

Almost surely, 2^123633081 is an apocalyptic number.

123633081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123633081 is a deficient number, since it is larger than the sum of its proper divisors (101594439).

123633081 is a wasteful number, since it uses less digits than its factorization.

123633081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 123633081 is about 11119.0413705499. The cubic root of 123633081 is about 498.1707572363.

The spelling of 123633081 in words is "one hundred twenty-three million, six hundred thirty-three thousand, eighty-one".