398151117 has 72 divisors (see below), whose sum is σ = 740330136. Its totient is φ = 204228864.

The previous prime is 398151077. The next prime is 398151119. The reversal of 398151117 is 711151893.

398151117 is a `hidden beast` number, since 398 + 151 + 117 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87721956 + 310429161 = 9366^2 + 17619^2 .

It is not a de Polignac number, because 398151117 - 2¹⁴ = 398134733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398151119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 211183 + ... + 213059.

It is an arithmetic number, because the mean of its divisors is an integer number (10282363).

Almost surely, 2^398151117 is an apocalyptic number.

398151117 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

398151117 is a deficient number, since it is larger than the sum of its proper divisors (342179019).

398151117 is a wasteful number, since it uses less digits than its factorization.

398151117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1937 counting only the distinct ones).

The product of its digits is 7560, while the sum is 36.

The square root of 398151117 is about 19953.7243891961. The cubic root of 398151117 is about 735.6693222744.

The spelling of 398151117 in words is "three hundred ninety-eight million, one hundred fifty-one thousand, one hundred seventeen".