172904641 has 16 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 132084288.

The previous prime is 172904623. The next prime is 172904653. The reversal of 172904641 is 146409271.

172904641 = 199² + 200² + ... + 807².

It is not a de Polignac number, because 172904641 - 2⁵ = 172904609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 172904597 and 172904606.

It is not an unprimeable number, because it can be changed into a prime (172904621) 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, 30121 + ... + 35398.

It is an arithmetic number, because the mean of its divisors is an integer number (13759200).

Almost surely, 2^172904641 is an apocalyptic number.

It is an amenable number.

172904641 is a deficient number, since it is larger than the sum of its proper divisors (47242559).

172904641 is a wasteful number, since it uses less digits than its factorization.

172904641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65568.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 172904641 is about 13149.3209330368. The cubic root of 172904641 is about 557.1030680172.

The spelling of 172904641 in words is "one hundred seventy-two million, nine hundred four thousand, six hundred forty-one".