16973232 has 80 divisors (see below), whose sum is σ = 47496960. Its totient is φ = 5204736.

The previous prime is 16973227. The next prime is 16973239. The reversal of 16973232 is 23237961.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 16973193 and 16973202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16973239) 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, 33493 + ... + 33995.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 2^16973232 is an apocalyptic number.

16973232 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 16973232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23748480).

16973232 is an abundant number, since it is smaller than the sum of its proper divisors (30523728).

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

16973232 is a wasteful number, since it uses less digits than its factorization.

16973232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 564 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 16973232 is about 4119.8582499887. The cubic root of 16973232 is about 256.9931311785.

It can be divided in two parts, 16973 and 232, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 16973232 in words is "sixteen million, nine hundred seventy-three thousand, two hundred thirty-two".