97951 has 6 divisors (see below), whose sum is σ = 114000. Its totient is φ = 83916.

The previous prime is 97943. The next prime is 97961. The reversal of 97951 is 15979.

It is not a de Polignac number, because 97951 - 2³ = 97943 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97931) 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 5 ways as a sum of consecutive naturals, for example, 951 + ... + 1048.

It is an arithmetic number, because the mean of its divisors is an integer number (19000).

2⁹⁷⁹⁵¹ is an apocalyptic number.

97951 is a deficient number, since it is larger than the sum of its proper divisors (16049).

97951 is a wasteful number, since it uses less digits than its factorization.

97951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2006 counting only the distinct ones).

The product of its digits is 2835, while the sum is 31.

The square root of 97951 is about 312.9712446855. The cubic root of 97951 is about 46.0966775791.

The spelling of 97951 in words is "ninety-seven thousand, nine hundred fifty-one".