42002961 has 64 divisors (see below), whose sum is σ = 76640256. Its totient is φ = 19756800.

The previous prime is 42002929. The next prime is 42002969. The reversal of 42002961 is 16920024.

It is not a de Polignac number, because 42002961 - 2⁵ = 42002929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42002969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213115 + ... + 213311.

It is an arithmetic number, because the mean of its divisors is an integer number (1197504).

Almost surely, 2^42002961 is an apocalyptic number.

It is an amenable number.

42002961 is a deficient number, since it is larger than the sum of its proper divisors (34637295).

42002961 is a wasteful number, since it uses less digits than its factorization.

42002961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 42002961 is about 6480.9691404913. The cubic root of 42002961 is about 347.6108329593.

Adding to 42002961 its reverse (16920024), we get a palindrome (58922985).

The spelling of 42002961 in words is "forty-two million, two thousand, nine hundred sixty-one".