169956 has 18 divisors (see below), whose sum is σ = 429702. Its totient is φ = 56640.

The previous prime is 169951. The next prime is 169957. The reversal of 169956 is 659961.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 22500 = 384^2 + 150^2 .

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 (36), and also a Moran number because the ratio is a prime number: 4721 = 169956 / (1 + 6 + 9 + 9 + 5 + 6).

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 169956.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 169956.

It is not an unprimeable number, because it can be changed into a prime (169951) by changing a digit.

169956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2325 + ... + 2396.

2¹⁶⁹⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

169956 is an abundant number, since it is smaller than the sum of its proper divisors (259746).

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

169956 is a wasteful number, since it uses less digits than its factorization.

169956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4731 (or 4726 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 169956 is about 412.2572012712. The cubic root of 169956 is about 55.3918028421.

The spelling of 169956 in words is "one hundred sixty-nine thousand, nine hundred fifty-six".