42849 has 15 divisors (see below), whose sum is σ = 66913. Its totient is φ = 27324.

The previous prime is 42841. The next prime is 42853. The reversal of 42849 is 94824.

42849 = T₂₀₆ + T₂₀₇.

The square root of 42849 is 207.

It is a perfect power (a square), and thus also a powerful number.

42849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42849 - 2³ = 42841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

42849 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (42841) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1852 + ... + 1874.

2⁴²⁸⁴⁹ is an apocalyptic number.

42849 is the 207-th square number.

42849 is the 104-th centered octagonal number.

It is an amenable number.

42849 is a deficient number, since it is larger than the sum of its proper divisors (24064).

42849 is an equidigital number, since it uses as much as digits as its factorization.

42849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 26 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The cubic root of 42849 is about 34.9929237395.

Multiplying 42849 by its product of digits (2304), we get a square (98724096 = 9936²).

The spelling of 42849 in words is "forty-two thousand, eight hundred forty-nine".