34801 has 4 divisors (see below), whose sum is σ = 37492. Its totient is φ = 32112.

The previous prime is 34781. The next prime is 34807. The reversal of 34801 is 10843.

34801 is nontrivially palindromic in base 12.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10843 = 7 ⋅1549.

It can be written as a sum of positive squares in 2 ways, for example, as 2401 + 32400 = 49^2 + 180^2 .

It is a cyclic number.

It is not a de Polignac number, because 34801 - 2⁷ = 34673 is a prime.

It is a super-2 number, since 2×34801² = 2422219202, which contains 22 as substring.

It is an Ulam number.

34801 is an undulating number in base 12.

It is not an unprimeable number, because it can be changed into a prime (34807) 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, 1326 + ... + 1351.

It is an arithmetic number, because the mean of its divisors is an integer number (9373).

2³⁴⁸⁰¹ is an apocalyptic number.

It is an amenable number.

34801 is a deficient number, since it is larger than the sum of its proper divisors (2691).

34801 is a wasteful number, since it uses less digits than its factorization.

34801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 34801 is about 186.5502613239. The cubic root of 34801 is about 32.6485507402.

It can be divided in two parts, 3480 and 1, that added together give a square (3481 = 59²).

The spelling of 34801 in words is "thirty-four thousand, eight hundred one".