9042049 has 9 divisors (see below), whose sum is σ = 9440451. Its totient is φ = 8660160.

The previous prime is 9042037. The next prime is 9042053. The reversal of 9042049 is 9402409.

9042049 = 112² + 113² + ... + 305².

The square root of 9042049 is 3007.

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

It can be written as a sum of positive squares in only one way, i.e., 4060225 + 4981824 = 2015^2 + 2232^2 .

It is not a de Polignac number, because 9042049 - 2¹⁵ = 9009281 is a prime.

It is a super-3 number, since 3×9042049³ (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

9042049 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9042029) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 93169 + ... + 93265.

It is an arithmetic number, because the mean of its divisors is an integer number (1048939).

Almost surely, 2^9042049 is an apocalyptic number.

9042049 is the 3007-th square number.

9042049 is the 1504-th centered octagonal number.

It is an amenable number.

9042049 is a deficient number, since it is larger than the sum of its proper divisors (398402).

9042049 is an frugal number, since it uses more digits than its factorization.

9042049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The cubic root of 9042049 is about 208.3318251980.

The spelling of 9042049 in words is "nine million, forty-two thousand, forty-nine".