117252 has 18 divisors (see below), whose sum is σ = 296478. Its totient is φ = 39072.

The previous prime is 117251. The next prime is 117259. The reversal of 117252 is 252711.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 4356 = 336^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (117251) 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, 1593 + ... + 1664.

It is an arithmetic number, because the mean of its divisors is an integer number (16471).

2¹¹⁷²⁵² is an apocalyptic number.

117252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

117252 is an abundant number, since it is smaller than the sum of its proper divisors (179226).

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

117252 is a wasteful number, since it uses less digits than its factorization.

117252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3262 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 117252 is about 342.4207937611. The cubic root of 117252 is about 48.9448219644.

Adding to 117252 its reverse (252711), we get a palindrome (369963).

The spelling of 117252 in words is "one hundred seventeen thousand, two hundred fifty-two".