196875 has 36 divisors (see below), whose sum is σ = 406224. Its totient is φ = 90000.

The previous prime is 196873. The next prime is 196879. The reversal of 196875 is 578691.

It is not a de Polignac number, because 196875 - 2^{1} = 196873 is a prime.

Its product of digits (15120) is a multiple of the sum of its prime divisors (15).

It is not an unprimeable number, because it can be changed into a prime (196871) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28122 + ... + 28128.

It is an arithmetic number, because the mean of its divisors is an integer number (11284).

196875 is a Friedman number, since it can be written as 9*7*5^(6-1^8), using all its digits and the basic arithmetic operations.

2^{196875} is an apocalyptic number.

196875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

196875 is an abundant number, since it is smaller than the sum of its proper divisors (209349).

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

196875 is an frugal number, since it uses more digits than its factorization.

196875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 15 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 196875 is about 443.7059837325. The cubic root of 196875 is about 58.1741692863.

The spelling of 196875 in words is "one hundred ninety-six thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 625 875 1125 1575 1875 2625 3125 4375 5625 7875 9375 13125 21875 28125 39375 65625 196875

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