10002967 has 4 divisors (see below), whose sum is σ = 10772440. Its totient is φ = 9233496.

The previous prime is 10002959. The next prime is 10002983. The reversal of 10002967 is 76920001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76920001 = 83 ⋅926747.

It is a cyclic number.

It is not a de Polignac number, because 10002967 - 2³ = 10002959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002067) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 384717 + ... + 384742.

It is an arithmetic number, because the mean of its divisors is an integer number (2693110).

Almost surely, 2^10002967 is an apocalyptic number.

10002967 is a deficient number, since it is larger than the sum of its proper divisors (769473).

10002967 is an equidigital number, since it uses as much as digits as its factorization.

10002967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769472.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 10002967 is about 3162.7467492672. The cubic root of 10002967 is about 215.4647742553.

Adding to 10002967 its reverse (76920001), we get a palindrome (86922968).

The spelling of 10002967 in words is "ten million, two thousand, nine hundred sixty-seven".