20005419 has 16 divisors (see below), whose sum is σ = 31309568. Its totient is φ = 11122272.

The previous prime is 20005397. The next prime is 20005429. The reversal of 20005419 is 91450002.

It is not a de Polignac number, because 20005419 - 2⁷ = 20005291 is a prime.

It is a super-2 number, since 2×20005419² = 800433578731122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20005395 and 20005404.

It is not an unprimeable number, because it can be changed into a prime (20005429) 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, 12097 + ... + 13650.

It is an arithmetic number, because the mean of its divisors is an integer number (1956848).

Almost surely, 2^20005419 is an apocalyptic number.

20005419 is a deficient number, since it is larger than the sum of its proper divisors (11304149).

20005419 is a wasteful number, since it uses less digits than its factorization.

20005419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25794.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 20005419 is about 4472.7417765840. The cubic root of 20005419 is about 271.4662751608.

The spelling of 20005419 in words is "twenty million, five thousand, four hundred nineteen".