124761 has 16 divisors (see below), whose sum is σ = 205184. Its totient is φ = 65664.

The previous prime is 124759. The next prime is 124769. The reversal of 124761 is 167421.

124761 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 124761 - 2¹ = 124759 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (124769) 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 15 ways as a sum of consecutive naturals, for example, 45 + ... + 501.

It is an arithmetic number, because the mean of its divisors is an integer number (12824).

2¹²⁴⁷⁶¹ is an apocalyptic number.

It is an amenable number.

124761 is a deficient number, since it is larger than the sum of its proper divisors (80423).

124761 is a wasteful number, since it uses less digits than its factorization.

124761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480.

The product of its digits is 336, while the sum is 21.

The square root of 124761 is about 353.2152318346. The cubic root of 124761 is about 49.9681130020.

It can be divided in two parts, 1247 and 61, that multiplied together give a palindrome (76067).

The spelling of 124761 in words is "one hundred twenty-four thousand, seven hundred sixty-one".