45652 has 12 divisors (see below), whose sum is σ = 81396. Its totient is φ = 22400.

The previous prime is 45641. The next prime is 45659. The reversal of 45652 is 25654.

It can be written as a sum of positive squares in 2 ways, for example, as 21316 + 24336 = 146^2 + 156^2 .

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

45652 is an undulating number in base 15.

It is a plaindrome in base 14.

It is a congruent number.

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

45652 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, 348 + ... + 460.

It is an arithmetic number, because the mean of its divisors is an integer number (6783).

2⁴⁵⁶⁵² is an apocalyptic number.

It is an amenable number.

45652 is a deficient number, since it is larger than the sum of its proper divisors (35744).

45652 is a wasteful number, since it uses less digits than its factorization.

45652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

The product of its digits is 1200, while the sum is 22.

The square root of 45652 is about 213.6632865047. The cubic root of 45652 is about 35.7398947754.

The spelling of 45652 in words is "forty-five thousand, six hundred fifty-two".