45656 has 16 divisors (see below), whose sum is σ = 92400. Its totient is φ = 21024.

The previous prime is 45641. The next prime is 45659. The reversal of 45656 is 65654.

45656 is nontrivially palindromic in base 7.

45656 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45656.

It is not an unprimeable number, because it can be changed into a prime (45659) by changing a digit.

45656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116 + ... + 323.

It is an arithmetic number, because the mean of its divisors is an integer number (5775).

2⁴⁵⁶⁵⁶ is an apocalyptic number.

It is an amenable number.

45656 is an abundant number, since it is smaller than the sum of its proper divisors (46744).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46200).

45656 is a wasteful number, since it uses less digits than its factorization.

45656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 45656 is about 213.6726468222. The cubic root of 45656 is about 35.7409385807.

It can be divided in two parts, 456 and 56, that added together give a 9-th power (512 = 2⁹).

The spelling of 45656 in words is "forty-five thousand, six hundred fifty-six".