45351 has 6 divisors (see below), whose sum is σ = 65520. Its totient is φ = 30228.

The previous prime is 45343. The next prime is 45361. The reversal of 45351 is 15354.

45351 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45351 - 2³ = 45343 is a prime.

45351 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45341) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2511 + ... + 2528.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2⁴⁵³⁵¹ is an apocalyptic number.

45351 is a deficient number, since it is larger than the sum of its proper divisors (20169).

45351 is a wasteful number, since it uses less digits than its factorization.

45351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5042 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 45351 is about 212.9577422871. The cubic root of 45351 is about 35.6611728614.

Adding to 45351 its sum of digits (18), we get a square (45369 = 213²).

The spelling of 45351 in words is "forty-five thousand, three hundred fifty-one".