45141 has 8 divisors (see below), whose sum is σ = 61824. Its totient is φ = 29280.

The previous prime is 45139. The next prime is 45161. The reversal of 45141 is 14154.

45141 = 11² + 12² + ... + 51².

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 45141 - 2¹ = 45139 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 61 + ... + 306.

It is an arithmetic number, because the mean of its divisors is an integer number (7728).

2⁴⁵¹⁴¹ is an apocalyptic number.

45141 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

45141 is the 123-rd octagonal number.

It is an amenable number.

45141 is a deficient number, since it is larger than the sum of its proper divisors (16683).

45141 is a wasteful number, since it uses less digits than its factorization.

45141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411.

The product of its digits is 80, while the sum is 15.

The square root of 45141 is about 212.4641146170. The cubic root of 45141 is about 35.6060440859.

Adding to 45141 its reverse (14154), we get a palindrome (59295).

The spelling of 45141 in words is "forty-five thousand, one hundred forty-one".