80838417 has 32 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 45630720.

The previous prime is 80838403. The next prime is 80838427. The reversal of 80838417 is 71483808.

It is not a de Polignac number, because 80838417 - 2¹⁸ = 80576273 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (80838427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57084 + ... + 58482.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2^80838417 is an apocalyptic number.

It is an amenable number.

80838417 is a deficient number, since it is larger than the sum of its proper divisors (44959983).

80838417 is a wasteful number, since it uses less digits than its factorization.

80838417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533.

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 80838417 is about 8991.0186853326. The cubic root of 80838417 is about 432.3869721461.

The spelling of 80838417 in words is "eighty million, eight hundred thirty-eight thousand, four hundred seventeen".