123541 has 6 divisors (see below), whose sum is σ = 135926. Its totient is φ = 112200.

The previous prime is 123527. The next prime is 123547. The reversal of 123541 is 145321.

It can be written as a sum of positive squares in only one way, i.e., 108900 + 14641 = 330^2 + 121^2 .

It is not a de Polignac number, because 123541 - 2¹¹ = 121493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123547) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 390 + ... + 631.

123541 is a Friedman number, since it can be written as 11^2*(4^5-3), using all its digits and the basic arithmetic operations.

2¹²³⁵⁴¹ is an apocalyptic number.

123541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123541 is a deficient number, since it is larger than the sum of its proper divisors (12385).

123541 is a wasteful number, since it uses less digits than its factorization.

123541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1032 counting only the distinct ones).

The product of its digits is 120, while the sum is 16.

The square root of 123541 is about 351.4839967908. The cubic root of 123541 is about 49.8047048559.

Adding to 123541 its reverse (145321), we get a palindrome (268862).

It can be divided in two parts, 12 and 3541, that added together give a palindrome (3553).

The spelling of 123541 in words is "one hundred twenty-three thousand, five hundred forty-one".