97846 has 16 divisors (see below), whose sum is σ = 174240. Its totient is φ = 40320.

The previous prime is 97843. The next prime is 97847. The reversal of 97846 is 64879.

97846 is nontrivially palindromic in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97841) 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 in 7 ways as a sum of consecutive naturals, for example, 286 + ... + 526.

It is an arithmetic number, because the mean of its divisors is an integer number (10890).

2⁹⁷⁸⁴⁶ is an apocalyptic number.

97846 is a deficient number, since it is larger than the sum of its proper divisors (76394).

97846 is a wasteful number, since it uses less digits than its factorization.

97846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279.

The product of its digits is 12096, while the sum is 34.

The square root of 97846 is about 312.8034526664. The cubic root of 97846 is about 46.0802003552.

It can be divided in two parts, 978 and 46, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 97846 in words is "ninety-seven thousand, eight hundred forty-six".