117633305 has 16 divisors (see below), whose sum is σ = 145263888. Its totient is φ = 91392000.

The previous prime is 117633301. The next prime is 117633317. The reversal of 117633305 is 503336711.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 37405456 + 80227849 = 6116^2 + 8957^2 .

It is not a de Polignac number, because 117633305 - 2² = 117633301 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117633301) 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, 48215 + ... + 50595.

It is an arithmetic number, because the mean of its divisors is an integer number (9078993).

Almost surely, 2^117633305 is an apocalyptic number.

It is an amenable number.

117633305 is a deficient number, since it is larger than the sum of its proper divisors (27630583).

117633305 is a wasteful number, since it uses less digits than its factorization.

117633305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668.

The product of its (nonzero) digits is 5670, while the sum is 29.

The square root of 117633305 is about 10845.8888524639. Note that the first 4 decimals coincide. The cubic root of 117633305 is about 489.9782094988.

The spelling of 117633305 in words is "one hundred seventeen million, six hundred thirty-three thousand, three hundred five".