201656 has 32 divisors (see below), whose sum is σ = 467040. Its totient is φ = 79488.

The previous prime is 201653. The next prime is 201661. The reversal of 201656 is 656102.

201656 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 590 + ... + 866.

It is an arithmetic number, because the mean of its divisors is an integer number (14595).

201656 is a Friedman number, since it can be written as 56*(60^2+1), using all its digits and the basic arithmetic operations.

2²⁰¹⁶⁵⁶ is an apocalyptic number.

201656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233520).

201656 is an abundant number, since it is smaller than the sum of its proper divisors (265384).

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

201656 is a wasteful number, since it uses less digits than its factorization.

201656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 201656 is about 449.0612430393. The cubic root of 201656 is about 58.6413171014.

Adding to 201656 its reverse (656102), we get a palindrome (857758).

It can be divided in two parts, 2016 and 56, that multiplied together give a square (112896 = 336²).

The spelling of 201656 in words is "two hundred one thousand, six hundred fifty-six".