196251 has 16 divisors (see below), whose sum is σ = 301440. Its totient is φ = 112320.

The previous prime is 196247. The next prime is 196271. The reversal of 196251 is 152691.

196251 is a nontrivial binomial coefficient, being equal to C(627, 2).

It is not a de Polignac number, because 196251 - 2² = 196247 is a prime.

It is an Ulam number.

196251 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 196251.

It is not an unprimeable number, because it can be changed into a prime (196201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471 + ... + 783.

It is an arithmetic number, because the mean of its divisors is an integer number (18840).

2¹⁹⁶²⁵¹ is an apocalyptic number.

196251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

196251 is the 626-th triangular number.

196251 is a deficient number, since it is larger than the sum of its proper divisors (105189).

196251 is a wasteful number, since it uses less digits than its factorization.

196251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346.

The product of its digits is 540, while the sum is 24.

The square root of 196251 is about 443.0022573306. The cubic root of 196251 is about 58.1126427656.

The spelling of 196251 in words is "one hundred ninety-six thousand, two hundred fifty-one".