20838345 has 96 divisors (see below), whose sum is σ = 42439680. Its totient is φ = 8616960.

The previous prime is 20838329. The next prime is 20838401. The reversal of 20838345 is 54383802.

20838345 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 20838345 - 2⁴ = 20838329 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 906004 + ... + 906026.

It is an arithmetic number, because the mean of its divisors is an integer number (442080).

Almost surely, 2^20838345 is an apocalyptic number.

It is an amenable number.

20838345 is an abundant number, since it is smaller than the sum of its proper divisors (21601335).

20838345 is a wasteful number, since it uses less digits than its factorization.

20838345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 20838345 is about 4564.9036134403. The cubic root of 20838345 is about 275.1826665172.

The spelling of 20838345 in words is "twenty million, eight hundred thirty-eight thousand, three hundred forty-five".