34806973 has 8 divisors (see below), whose sum is σ = 37851192. Its totient is φ = 31873536.

The previous prime is 34806949. The next prime is 34806979. The reversal of 34806973 is 37960843.

34806973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14538969 + 20268004 = 3813^2 + 4502^2 .

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 34806973 - 2¹³ = 34798781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34806979) 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 7 ways as a sum of consecutive naturals, for example, 27040 + ... + 28297.

It is an arithmetic number, because the mean of its divisors is an integer number (4731399).

Almost surely, 2^34806973 is an apocalyptic number.

It is an amenable number.

34806973 is a deficient number, since it is larger than the sum of its proper divisors (3044219).

34806973 is a wasteful number, since it uses less digits than its factorization.

34806973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55391.

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 34806973 is about 5899.7434689993. The cubic root of 34806973 is about 326.5041848956.

The spelling of 34806973 in words is "thirty-four million, eight hundred six thousand, nine hundred seventy-three".