42810849 has 15 divisors (see below), whose sum is σ = 64040097. Its totient is φ = 28501308.

The previous prime is 42810839. The next prime is 42810881. The reversal of 42810849 is 94801824.

The square root of 42810849 is 6543.

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

It is not a de Polignac number, because 42810849 - 2¹⁹ = 42286561 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42810839) 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, 58524 + ... + 59250.

Almost surely, 2^42810849 is an apocalyptic number.

42810849 is the 6543-rd square number.

42810849 is the 3272-nd centered octagonal number.

It is an amenable number.

42810849 is a deficient number, since it is larger than the sum of its proper divisors (21229248).

42810849 is an frugal number, since it uses more digits than its factorization.

42810849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The cubic root of 42810849 is about 349.8253523222.

Multiplying 42810849 by its sum of digits (36), we get a square (1541190564 = 39258²).

The spelling of 42810849 in words is "forty-two million, eight hundred ten thousand, eight hundred forty-nine".