91951 has 2 divisors, whose sum is σ = 91952. Its totient is φ = 91950.

The previous prime is 91943. The next prime is 91957. The reversal of 91951 is 15919.

It is a strong prime.

It is an emirp because it is prime and its reverse (15919) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 91951 - 2³ = 91943 is a prime.

It is a super-3 number, since 3×91951³ = 2332333363675053, which contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (91957) by changing a digit.

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 as a sum of consecutive naturals, namely, 45975 + 45976.

It is an arithmetic number, because the mean of its divisors is an integer number (45976).

2⁹¹⁹⁵¹ is an apocalyptic number.

91951 is a deficient number, since it is larger than the sum of its proper divisors (1).

91951 is an equidigital number, since it uses as much as digits as its factorization.

91951 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 405, while the sum is 25.

The square root of 91951 is about 303.2342328960. The cubic root of 91951 is about 45.1355583113.

The spelling of 91951 in words is "ninety-one thousand, nine hundred fifty-one".