346801 has 16 divisors (see below), whose sum is σ = 442624. Its totient is φ = 264384.

The previous prime is 346793. The next prime is 346831. The reversal of 346801 is 108643.

346801 = T₁₁₈ + T₁₁₉ + ... + T₁₅₄.

346801 is nontrivially palindromic in base 12.

It is a 5-Lehmer number, since φ(346801) divides (346801-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 346801 - 2³ = 346793 is a prime.

It is a deceptive number, since it divides R₃₄₆₈₀₀.

346801 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (346831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3316 + ... + 3418.

It is an arithmetic number, because the mean of its divisors is an integer number (27664).

2³⁴⁶⁸⁰¹ is an apocalyptic number.

346801 is the 481-st pentagonal number.

It is an amenable number.

346801 is a deficient number, since it is larger than the sum of its proper divisors (95823).

346801 is a wasteful number, since it uses less digits than its factorization.

346801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 346801 is about 588.8981236173. The cubic root of 346801 is about 70.2576221345.

The spelling of 346801 in words is "three hundred forty-six thousand, eight hundred one".