16617972 has 48 divisors (see below), whose sum is σ = 44600192. Its totient is φ = 4717440.

The previous prime is 16617971. The next prime is 16617973. The reversal of 16617972 is 27971661.

It is an interprime number because it is at equal distance from previous prime (16617971) and next prime (16617973).

It is a self number, because there is not a number n which added to its sum of digits gives 16617972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16617971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14658 + ... + 15750.

Almost surely, 2^16617972 is an apocalyptic number.

16617972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16617972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22300096).

16617972 is an abundant number, since it is smaller than the sum of its proper divisors (27982220).

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

16617972 is a wasteful number, since it uses less digits than its factorization.

16617972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1286 counting only the distinct ones).

The product of its digits is 31752, while the sum is 39.

The square root of 16617972 is about 4076.5146878185. The cubic root of 16617972 is about 255.1874669146.

The spelling of 16617972 in words is "sixteen million, six hundred seventeen thousand, nine hundred seventy-two".