123846261 has 32 divisors (see below), whose sum is σ = 206462976. Its totient is φ = 64152000.

The previous prime is 123846253. The next prime is 123846263. The reversal of 123846261 is 162648321.

It is not a de Polignac number, because 123846261 - 2³ = 123846253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123846263) 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 31 ways as a sum of consecutive naturals, for example, 124476 + ... + 125466.

It is an arithmetic number, because the mean of its divisors is an integer number (6451968).

Almost surely, 2^123846261 is an apocalyptic number.

123846261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123846261 is a deficient number, since it is larger than the sum of its proper divisors (82616715).

123846261 is a wasteful number, since it uses less digits than its factorization.

123846261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553.

The product of its digits is 13824, while the sum is 33.

The square root of 123846261 is about 11128.6234997865. The cubic root of 123846261 is about 498.4569240656.

The spelling of 123846261 in words is "one hundred twenty-three million, eight hundred forty-six thousand, two hundred sixty-one".