122993 has 4 divisors (see below), whose sum is σ = 132468. Its totient is φ = 113520.

The previous prime is 122971. The next prime is 123001. The reversal of 122993 is 399221.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 53824 + 69169 = 232^2 + 263^2 .

It is a cyclic number.

It is not a de Polignac number, because 122993 - 2⁶ = 122929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122953) 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, 4718 + ... + 4743.

It is an arithmetic number, because the mean of its divisors is an integer number (33117).

2¹²²⁹⁹³ is an apocalyptic number.

122993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122993 is a deficient number, since it is larger than the sum of its proper divisors (9475).

122993 is an equidigital number, since it uses as much as digits as its factorization.

122993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9474.

The product of its digits is 972, while the sum is 26.

The square root of 122993 is about 350.7035785389. The cubic root of 122993 is about 49.7309548912.

The spelling of 122993 in words is "one hundred twenty-two thousand, nine hundred ninety-three".