123953 has 2 divisors, whose sum is σ = 123954. Its totient is φ = 123952.

The previous prime is 123941. The next prime is 123973. The reversal of 123953 is 359321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123904 + 49 = 352^2 + 7^2 .

It is a cyclic number.

It is not a de Polignac number, because 123953 - 2¹⁰ = 122929 is a prime.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (123923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61976 + 61977.

It is an arithmetic number, because the mean of its divisors is an integer number (61977).

2¹²³⁹⁵³ is an apocalyptic number.

It is an amenable number.

123953 is a deficient number, since it is larger than the sum of its proper divisors (1).

123953 is an equidigital number, since it uses as much as digits as its factorization.

123953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 810, while the sum is 23.

The square root of 123953 is about 352.0695953927. The cubic root of 123953 is about 49.8600084129.

The spelling of 123953 in words is "one hundred twenty-three thousand, nine hundred fifty-three".