16964172 has 36 divisors (see below), whose sum is σ = 43492176. Its totient is φ = 5574240.

The previous prime is 16964141. The next prime is 16964173. The reversal of 16964172 is 27146961.

16964172 is a `hidden beast` number, since 1 + 6 + 9 + 641 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16964173) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 763 + ... + 5874.

It is an arithmetic number, because the mean of its divisors is an integer number (1208116).

Almost surely, 2^16964172 is an apocalyptic number.

16964172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16964172 is an abundant number, since it is smaller than the sum of its proper divisors (26528004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16964172 is a wasteful number, since it uses less digits than its factorization.

16964172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6718 (or 6713 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 16964172 is about 4118.7585508257. The cubic root of 16964172 is about 256.9473969665.

The spelling of 16964172 in words is "sixteen million, nine hundred sixty-four thousand, one hundred seventy-two".