2117904 has 20 divisors (see below), whose sum is σ = 5471376. Its totient is φ = 705952.

The previous prime is 2117903. The next prime is 2117953. The reversal of 2117904 is 4097112.

It is a super-3 number, since 3×2117904³ = 28499685433336737792, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2117903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22014 + ... + 22109.

2^2117904 is an apocalyptic number.

2117904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2117904 is an abundant number, since it is smaller than the sum of its proper divisors (3353472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2117904 is a wasteful number, since it uses less digits than its factorization.

2117904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44134 (or 44128 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 2117904 is about 1455.3020305078. The cubic root of 2117904 is about 128.4208155226.

The spelling of 2117904 in words is "two million, one hundred seventeen thousand, nine hundred four".