10007235 has 24 divisors (see below), whose sum is σ = 19824480. Its totient is φ = 4574592.

The previous prime is 10007201. The next prime is 10007267. The reversal of 10007235 is 53270001.

It is not a de Polignac number, because 10007235 - 2¹⁶ = 9941699 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15570 + ... + 16199.

It is an arithmetic number, because the mean of its divisors is an integer number (826020).

Almost surely, 2^10007235 is an apocalyptic number.

10007235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10007235 is a deficient number, since it is larger than the sum of its proper divisors (9817245).

10007235 is a wasteful number, since it uses less digits than its factorization.

10007235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31787 (or 31784 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 10007235 is about 3163.4214072741. The cubic root of 10007235 is about 215.4954142610.

Adding to 10007235 its reverse (53270001), we get a palindrome (63277236).

The spelling of 10007235 in words is "ten million, seven thousand, two hundred thirty-five".