45396 has 36 divisors (see below), whose sum is σ = 124852. Its totient is φ = 13824.

The previous prime is 45389. The next prime is 45403. The reversal of 45396 is 69354.

45396 = T₁₃ + T₁₄ + ... + T₆₄.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45389) and next prime (45403).

It can be written as a sum of positive squares in 2 ways, for example, as 12996 + 32400 = 114^2 + 180^2 .

It is a tau number, because it is divible by the number of its divisors (36).

Its product of digits (3240) is a multiple of the sum of its prime factors (120).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

45396 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 11 ways as a sum of consecutive naturals, for example, 420 + ... + 516.

2⁴⁵³⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62426).

45396 is an abundant number, since it is smaller than the sum of its proper divisors (79456).

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

45396 is a wasteful number, since it uses less digits than its factorization.

45396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 115 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 45396 is about 213.0633708548. The cubic root of 45396 is about 35.6729640185.

Subtracting from 45396 its sum of digits (27), we obtain a square (45369 = 213²).

It can be divided in two parts, 45 and 396, that added together give a square (441 = 21²).

The spelling of 45396 in words is "forty-five thousand, three hundred ninety-six".