99251 has 2 divisors, whose sum is σ = 99252. Its totient is φ = 99250.

The previous prime is 99241. The next prime is 99257. The reversal of 99251 is 15299.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (15299) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 99251 - 2¹⁰ = 98227 is a prime.

It is a super-2 number, since 2×99251² = 19701522002, which contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 99251.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99251.

It is not a weakly prime, because it can be changed into another prime (99257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 49625 + 49626.

It is an arithmetic number, because the mean of its divisors is an integer number (49626).

2⁹⁹²⁵¹ is an apocalyptic number.

99251 is a deficient number, since it is larger than the sum of its proper divisors (1).

99251 is an equidigital number, since it uses as much as digits as its factorization.

99251 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 810, while the sum is 26.

The square root of 99251 is about 315.0412671381. The cubic root of 99251 is about 46.2997127987.

Subtracting from 99251 its sum of digits (26), we obtain a square (99225 = 315²).

The spelling of 99251 in words is "ninety-nine thousand, two hundred fifty-one".