123761 has 4 divisors (see below), whose sum is σ = 135024. Its totient is φ = 112500.

The previous prime is 123757. The next prime is 123787. The reversal of 123761 is 167321.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 123761 - 2² = 123757 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (123701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5615 + ... + 5636.

It is an arithmetic number, because the mean of its divisors is an integer number (33756).

2¹²³⁷⁶¹ is an apocalyptic number.

123761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123761 is a deficient number, since it is larger than the sum of its proper divisors (11263).

123761 is a wasteful number, since it uses less digits than its factorization.

123761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11262.

The product of its digits is 252, while the sum is 20.

The square root of 123761 is about 351.7968163585. The cubic root of 123761 is about 49.8342511535.

It can be divided in two parts, 1237 and 61, that multiplied together give a palindrome (75457).

The spelling of 123761 in words is "one hundred twenty-three thousand, seven hundred sixty-one".