172101516 has 48 divisors (see below), whose sum is σ = 407291136. Its totient is φ = 56556864.

The previous prime is 172101511. The next prime is 172101521. The reversal of 172101516 is 615101271.

It is an interprime number because it is at equal distance from previous prime (172101511) and next prime (172101521).

It is not an unprimeable number, because it can be changed into a prime (172101511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314355 + ... + 314901.

It is an arithmetic number, because the mean of its divisors is an integer number (8485232).

Almost surely, 2^172101516 is an apocalyptic number.

It is an amenable number.

172101516 is an abundant number, since it is smaller than the sum of its proper divisors (235189620).

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

172101516 is a wasteful number, since it uses less digits than its factorization.

172101516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

The square root of 172101516 is about 13118.7467389229. The cubic root of 172101516 is about 556.2391661232.

Adding to 172101516 its reverse (615101271), we get a palindrome (787202787).

The spelling of 172101516 in words is "one hundred seventy-two million, one hundred one thousand, five hundred sixteen".