123797417 has 8 divisors (see below), whose sum is σ = 132379272. Its totient is φ = 115360000.

The previous prime is 123797393. The next prime is 123797437. The reversal of 123797417 is 714797321.

It can be written as a sum of positive squares in 4 ways, for example, as 46022656 + 77774761 = 6784^2 + 8819^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123797417 - 2⁸ = 123797161 is a prime.

It is a super-3 number, since 3×123797417³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (123797437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34334 + ... + 37767.

It is an arithmetic number, because the mean of its divisors is an integer number (16547409).

Almost surely, 2^123797417 is an apocalyptic number.

123797417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

123797417 is a deficient number, since it is larger than the sum of its proper divisors (8581855).

123797417 is a wasteful number, since it uses less digits than its factorization.

123797417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72219.

The product of its digits is 74088, while the sum is 41.

The square root of 123797417 is about 11126.4287621860. The cubic root of 123797417 is about 498.3913862738.

The spelling of 123797417 in words is "one hundred twenty-three million, seven hundred ninety-seven thousand, four hundred seventeen".