17122952 has 108 divisors (see below), whose sum is σ = 43325415. Its totient is φ = 6320160.

The previous prime is 17122951. The next prime is 17122957. The reversal of 17122952 is 25922171.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 8561476 + 8561476 = 2926^2 + 2926^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2926.

It is not an unprimeable number, because it can be changed into a prime (17122951) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 901199 + ... + 901217.

Almost surely, 2^17122952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17122952

17122952 is an abundant number, since it is smaller than the sum of its proper divisors (26202463).

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

17122952 is a wasteful number, since it uses less digits than its factorization.

17122952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 39 counting only the distinct ones).

The product of its digits is 2520, while the sum is 29.

The square root of 17122952 is about 4137.9888835037. The cubic root of 17122952 is about 257.7465612108.

It can be divided in two parts, 1712 and 2952, that added together give a palindrome (4664).

The spelling of 17122952 in words is "seventeen million, one hundred twenty-two thousand, nine hundred fifty-two".