172933 has 2 divisors, whose sum is σ = 172934. Its totient is φ = 172932.

The previous prime is 172883. The next prime is 172969. The reversal of 172933 is 339271.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146689 + 26244 = 383^2 + 162^2 .

It is a cyclic number.

It is not a de Polignac number, because 172933 - 2⁹ = 172421 is a prime.

It is equal to p₁₅₇₄₈ and since 172933 and 15748 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 172898 and 172907.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (172973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86466 + 86467.

It is an arithmetic number, because the mean of its divisors is an integer number (86467).

2¹⁷²⁹³³ is an apocalyptic number.

It is an amenable number.

172933 is a deficient number, since it is larger than the sum of its proper divisors (1).

172933 is an equidigital number, since it uses as much as digits as its factorization.

172933 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1134, while the sum is 25.

The square root of 172933 is about 415.8521371834. The cubic root of 172933 is about 55.7133524154.

The spelling of 172933 in words is "one hundred seventy-two thousand, nine hundred thirty-three".