10667985 has 32 divisors (see below), whose sum is σ = 17677440. Its totient is φ = 5491200.

The previous prime is 10667981. The next prime is 10667989. The reversal of 10667985 is 58976601.

10667985 = 13² + 14² + ... + 317².

10667985 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10667981) and next prime (10667989).

It is not a de Polignac number, because 10667985 - 2² = 10667981 is a prime.

It is a super-2 number, since 2×10667985² = 227611807920450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10667981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81370 + ... + 81500.

It is an arithmetic number, because the mean of its divisors is an integer number (552420).

Almost surely, 2^10667985 is an apocalyptic number.

10667985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10667985 is a deficient number, since it is larger than the sum of its proper divisors (7009455).

10667985 is a wasteful number, since it uses less digits than its factorization.

10667985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 10667985 is about 3266.1881452237. The cubic root of 10667985 is about 220.1375517210.

The spelling of 10667985 in words is "ten million, six hundred sixty-seven thousand, nine hundred eighty-five".