123641 has 8 divisors (see below), whose sum is σ = 149760. Its totient is φ = 99648.

The previous prime is 123637. The next prime is 123653. The reversal of 123641 is 146321.

123641 = 43² + 44² + ... + 76².

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 123641 - 2² = 123637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (18720).

2¹²³⁶⁴¹ is an apocalyptic number.

It is an amenable number.

123641 is a deficient number, since it is larger than the sum of its proper divisors (26119).

123641 is a wasteful number, since it uses less digits than its factorization.

123641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063.

The product of its digits is 144, while the sum is 17.

The square root of 123641 is about 351.6262220029. The cubic root of 123641 is about 49.8181393359.

Adding to 123641 its reverse (146321), we get a palindrome (269962).

The spelling of 123641 in words is "one hundred twenty-three thousand, six hundred forty-one".