45849 has 16 divisors (see below), whose sum is σ = 69120. Its totient is φ = 26880.

The previous prime is 45841. The next prime is 45853. The reversal of 45849 is 94854.

45849 = T₃₄ + T₃₅ + ... + T₆₇.

45849 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 45849 - 2³ = 45841 is a prime.

Its product of digits (5760) is a multiple of the sum of its prime divisors (80).

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 (45841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464 + ... + 1494.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2⁴⁵⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

45849 is a deficient number, since it is larger than the sum of its proper divisors (23271).

45849 is a wasteful number, since it uses less digits than its factorization.

45849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80.

The product of its digits is 5760, while the sum is 30.

The square root of 45849 is about 214.1237959686. The cubic root of 45849 is about 35.7912299190.

The spelling of 45849 in words is "forty-five thousand, eight hundred forty-nine".