346561167 has 16 divisors (see below), whose sum is σ = 490344192. Its totient is φ = 216969600.

The previous prime is 346561141. The next prime is 346561213. The reversal of 346561167 is 761165643.

It is not a de Polignac number, because 346561167 - 2²⁰ = 345512591 is a prime.

It is a super-3 number, since 3×346561167³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346561067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16542 + ... + 31092.

It is an arithmetic number, because the mean of its divisors is an integer number (30646512).

Almost surely, 2^346561167 is an apocalyptic number.

346561167 is a deficient number, since it is larger than the sum of its proper divisors (143783025).

346561167 is a wasteful number, since it uses less digits than its factorization.

346561167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15038.

The product of its digits is 90720, while the sum is 39.

The square root of 346561167 is about 18616.1533889254. The cubic root of 346561167 is about 702.4142265983.

The spelling of 346561167 in words is "three hundred forty-six million, five hundred sixty-one thousand, one hundred sixty-seven".