123957 has 8 divisors (see below), whose sum is σ = 183680. Its totient is φ = 82620.

The previous prime is 123953. The next prime is 123973. The reversal of 123957 is 759321.

It is not a de Polignac number, because 123957 - 2² = 123953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4591 = 123957 / (1 + 2 + 3 + 9 + 5 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2269 + ... + 2322.

It is an arithmetic number, because the mean of its divisors is an integer number (22960).

2¹²³⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

123957 is a deficient number, since it is larger than the sum of its proper divisors (59723).

123957 is an equidigital number, since it uses as much as digits as its factorization.

123957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600 (or 4594 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 123957 is about 352.0752760419. The cubic root of 123957 is about 49.8605447396.

It can be divided in two parts, 1239 and 57, that added together give a 4-th power (1296 = 6⁴).

The spelling of 123957 in words is "one hundred twenty-three thousand, nine hundred fifty-seven".