172397000 has 64 divisors (see below), whose sum is σ = 427181040. Its totient is φ = 64896000.

The previous prime is 172396993. The next prime is 172397021. The reversal of 172397000 is 793271.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4072324 + 168324676 = 2018^2 + 12974^2 .

It is an unprimeable number.

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, 11930 + ... + 22070.

Almost surely, 2^172397000 is an apocalyptic number.

172397000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172397000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213590520).

172397000 is an abundant number, since it is smaller than the sum of its proper divisors (254784040).

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

172397000 is a wasteful number, since it uses less digits than its factorization.

172397000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10179 (or 10165 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 172397000 is about 13130.0038080726. The cubic root of 172397000 is about 556.5573229165.

The spelling of 172397000 in words is "one hundred seventy-two million, three hundred ninety-seven thousand".