10042767 has 24 divisors (see below), whose sum is σ = 17555616. Its totient is φ = 5400576.

The previous prime is 10042763. The next prime is 10042771. The reversal of 10042767 is 76724001.

It is an interprime number because it is at equal distance from previous prime (10042763) and next prime (10042771).

It is not a de Polignac number, because 10042767 - 2² = 10042763 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10042767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3618 + ... + 5759.

It is an arithmetic number, because the mean of its divisors is an integer number (731484).

Almost surely, 2^10042767 is an apocalyptic number.

10042767 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10042767 is a deficient number, since it is larger than the sum of its proper divisors (7512849).

10042767 is a wasteful number, since it uses less digits than its factorization.

10042767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9407 (or 9404 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 10042767 is about 3169.0325022000. The cubic root of 10042767 is about 215.7501612356.

Adding to 10042767 its reverse (76724001), we get a palindrome (86766768).

The spelling of 10042767 in words is "ten million, forty-two thousand, seven hundred sixty-seven".