42029289 has 9 divisors (see below), whose sum is σ = 60737079. Its totient is φ = 28006560.

The previous prime is 42029263. The next prime is 42029293. The reversal of 42029289 is 98292024.

The square root of 42029289 is 6483.

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., 26347689 + 15681600 = 5133^2 + 3960^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 42029289 - 2⁷ = 42029161 is a prime.

It is a super-2 number, since 2×42029289² = 3532922267691042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42029489) 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, 18369 + ... + 20529.

Almost surely, 2^42029289 is an apocalyptic number.

42029289 is the 6483-rd square number.

42029289 is the 3242-nd centered octagonal number.

It is an amenable number.

42029289 is a deficient number, since it is larger than the sum of its proper divisors (18707790).

42029289 is an frugal number, since it uses more digits than its factorization.

42029289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 42029289 is about 347.6834467805.

Multiplying 42029289 by its sum of digits (36), we get a square (1513054404 = 38898²).

Multiplying 42029289 by its product of nonzero digits (20736), we get a square (871519336704 = 933552²).

The spelling of 42029289 in words is "forty-two million, twenty-nine thousand, two hundred eighty-nine".