172005813 has 24 divisors (see below), whose sum is σ = 300650688. Its totient is φ = 92506752.

The previous prime is 172005781. The next prime is 172005851. The reversal of 172005813 is 318500271.

It is not a de Polignac number, because 172005813 - 2⁵ = 172005781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172005313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79231 + ... + 81372.

It is an arithmetic number, because the mean of its divisors is an integer number (12527112).

Almost surely, 2^172005813 is an apocalyptic number.

It is an amenable number.

172005813 is a deficient number, since it is larger than the sum of its proper divisors (128644875).

172005813 is a wasteful number, since it uses less digits than its factorization.

172005813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160633 (or 160630 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 172005813 is about 13115.0986652789. The cubic root of 172005813 is about 556.1360416637.

The spelling of 172005813 in words is "one hundred seventy-two million, five thousand, eight hundred thirteen".