45312 has 36 divisors (see below), whose sum is σ = 122640. Its totient is φ = 14848.

The previous prime is 45307. The next prime is 45317. The reversal of 45312 is 21354.

It is an interprime number because it is at equal distance from previous prime (45307) and next prime (45317).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 45291 and 45300.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45312.

It is not an unprimeable number, because it can be changed into a prime (45317) by changing a digit.

45312 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 3 ways as a sum of consecutive naturals, for example, 739 + ... + 797.

2⁴⁵³¹² 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 45312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61320).

45312 is an abundant number, since it is smaller than the sum of its proper divisors (77328).

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

45312 is an equidigital number, since it uses as much as digits as its factorization.

45312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 64 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 45312 is about 212.8661551304. The cubic root of 45312 is about 35.6509475477.

Adding to 45312 its reverse (21354), we get a palindrome (66666).

It can be divided in two parts, 453 and 12, that added together give a triangular number (465 = T₃₀).

The spelling of 45312 in words is "forty-five thousand, three hundred twelve".