172965793 has 32 divisors (see below), whose sum is σ = 235791360. Its totient is φ = 122506560.

The previous prime is 172965763. The next prime is 172965799. The reversal of 172965793 is 397569271.

It is not a de Polignac number, because 172965793 - 2¹³ = 172957601 is a prime.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (172965799) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65778 + ... + 68356.

It is an arithmetic number, because the mean of its divisors is an integer number (7368480).

Almost surely, 2^172965793 is an apocalyptic number.

172965793 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

172965793 is a deficient number, since it is larger than the sum of its proper divisors (62825567).

172965793 is a wasteful number, since it uses less digits than its factorization.

172965793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677.

The product of its digits is 714420, while the sum is 49.

The square root of 172965793 is about 13151.6460186549. The cubic root of 172965793 is about 557.1687380326.

The spelling of 172965793 in words is "one hundred seventy-two million, nine hundred sixty-five thousand, seven hundred ninety-three".