117628005 has 64 divisors (see below), whose sum is σ = 214410240. Its totient is φ = 54566400.

The previous prime is 117628001. The next prime is 117628009. The reversal of 117628005 is 500826711.

117628005 = 180² + 181² + ... + 710².

It is an interprime number because it is at equal distance from previous prime (117628001) and next prime (117628009).

It is not a de Polignac number, because 117628005 - 2² = 117628001 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117628001) 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 63 ways as a sum of consecutive naturals, for example, 418465 + ... + 418745.

It is an arithmetic number, because the mean of its divisors is an integer number (3350160).

Almost surely, 2^117628005 is an apocalyptic number.

117628005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

117628005 is a deficient number, since it is larger than the sum of its proper divisors (96782235).

117628005 is a wasteful number, since it uses less digits than its factorization.

117628005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402.

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 117628005 is about 10845.6445175010. The cubic root of 117628005 is about 489.9708506886.

The spelling of 117628005 in words is "one hundred seventeen million, six hundred twenty-eight thousand, five".