117649 has 7 divisors (see below), whose sum is σ = 137257. Its totient is φ = 100842.

The previous prime is 117643. The next prime is 117659. The reversal of 117649 is 946711.

117649 = T_{342} + T_{343}.

The square root of 117649 is 343.

The cubic root of 117649 is 49.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (7).

It is not a de Polignac number, because 117649 - 2^{5} = 117617 is a prime.

It is a Duffinian number.

Its product of digits (1512) is a multiple of the sum of its prime divisors (7).

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (117643) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 16804 + ... + 16810.

117649 is a Friedman number, since it can be written as 7^(6*(9-4*(1+1))), using all its digits and the basic arithmetic operations.

2^{117649} is an apocalyptic number.

117649 is the 343-rd square number.

117649 is the 172-nd centered octagonal number.

It is an amenable number.

117649 is a deficient number, since it is larger than the sum of its proper divisors (19608).

117649 is an frugal number, since it uses more digits than its factorization.

117649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 7 counting only the distinct ones).

The product of its digits is 1512, while the sum is 28.

It can be divided in two parts, 1176 and 49, that added together give a triangular number (1225 = T_{49}).

The spelling of 117649 in words is "one hundred seventeen thousand, six hundred forty-nine".

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