42688337 has 2 divisors, whose sum is σ = 42688338. Its totient is φ = 42688336.

The previous prime is 42688301. The next prime is 42688363. The reversal of 42688337 is 73388624.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27447121 + 15241216 = 5239^2 + 3904^2 .

It is a cyclic number.

It is not a de Polignac number, because 42688337 - 2¹⁸ = 42426193 is a prime.

It is a super-3 number, since 3×42688337³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42688294 and 42688303.

It is not a weakly prime, because it can be changed into another prime (42688367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21344168 + 21344169.

It is an arithmetic number, because the mean of its divisors is an integer number (21344169).

Almost surely, 2^42688337 is an apocalyptic number.

It is an amenable number.

42688337 is a deficient number, since it is larger than the sum of its proper divisors (1).

42688337 is an equidigital number, since it uses as much as digits as its factorization.

42688337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 193536, while the sum is 41.

The square root of 42688337 is about 6533.6312262019. The cubic root of 42688337 is about 349.4913345689.

The spelling of 42688337 in words is "forty-two million, six hundred eighty-eight thousand, three hundred thirty-seven".