117954 has 12 divisors (see below), whose sum is σ = 255606. Its totient is φ = 39312.

The previous prime is 117937. The next prime is 117959. The reversal of 117954 is 459711.

It can be written as a sum of positive squares in only one way, i.e., 106929 + 11025 = 327^2 + 105^2 .

It is a super-3 number, since 3×117954³ = 4923333710899992, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (117959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3259 + ... + 3294.

2¹¹⁷⁹⁵⁴ is an apocalyptic number.

117954 is an abundant number, since it is smaller than the sum of its proper divisors (137652).

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

117954 is a wasteful number, since it uses less digits than its factorization.

117954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6561 (or 6558 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 117954 is about 343.4443186311. Note that the first 3 decimals coincide. The cubic root of 117954 is about 49.0423069294.

It can be divided in two parts, 1 and 17954, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 117954 in words is "one hundred seventeen thousand, nine hundred fifty-four".