97864 has 16 divisors (see below), whose sum is σ = 197820. Its totient is φ = 45120.

The previous prime is 97861. The next prime is 97871. The reversal of 97864 is 46879.

It can be written as a sum of positive squares in 2 ways, for example, as 96100 + 1764 = 310^2 + 42^2 .

It is not an unprimeable number, because it can be changed into a prime (97861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 367 + ... + 574.

2⁹⁷⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

97864 is an abundant number, since it is smaller than the sum of its proper divisors (99956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98910).

97864 is a wasteful number, since it uses less digits than its factorization.

97864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 956 counting only the distinct ones).

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

The square root of 97864 is about 312.8322234042. The cubic root of 97864 is about 46.0830258590.

It can be divided in two parts, 97 and 864, that added together give a square (961 = 31²).

The spelling of 97864 in words is "ninety-seven thousand, eight hundred sixty-four".