42032313 has 36 divisors (see below), whose sum is σ = 67935348. Its totient is φ = 24952320.

The previous prime is 42032299. The next prime is 42032323. The reversal of 42032313 is 31323024.

It can be written as a sum of positive squares in 2 ways, for example, as 12089529 + 29942784 = 3477^2 + 5472^2 .

It is not a de Polignac number, because 42032313 - 2¹⁰ = 42031289 is a prime.

It is a super-2 number, since 2×42032313² = 3533430672259938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42032323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54853 + ... + 55613.

It is an arithmetic number, because the mean of its divisors is an integer number (1887093).

Almost surely, 2^42032313 is an apocalyptic number.

It is an amenable number.

42032313 is a deficient number, since it is larger than the sum of its proper divisors (25903035).

42032313 is a wasteful number, since it uses less digits than its factorization.

42032313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 42032313 is about 6483.2332211637. The cubic root of 42032313 is about 347.6917851683.

Adding to 42032313 its reverse (31323024), we get a palindrome (73355337).

The spelling of 42032313 in words is "forty-two million, thirty-two thousand, three hundred thirteen".