12961667 has 8 divisors (see below), whose sum is σ = 14446800. Its totient is φ = 11556864.

The previous prime is 12961657. The next prime is 12961681. The reversal of 12961667 is 76616921.

12961667 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12961667 - 2⁶ = 12961603 is a prime.

It is a super-2 number, since 2×12961667² = 336009622837778, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12961667.

It is not an unprimeable number, because it can be changed into a prime (12961607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19742 + ... + 20387.

It is an arithmetic number, because the mean of its divisors is an integer number (1805850).

Almost surely, 2^12961667 is an apocalyptic number.

12961667 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12961667 is a deficient number, since it is larger than the sum of its proper divisors (1485133).

12961667 is a wasteful number, since it uses less digits than its factorization.

12961667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40165.

The product of its digits is 27216, while the sum is 38.

The square root of 12961667 is about 3600.2315203331. The cubic root of 12961667 is about 234.9021291562.

The spelling of 12961667 in words is "twelve million, nine hundred sixty-one thousand, six hundred sixty-seven".