97860 has 48 divisors (see below), whose sum is σ = 314496. Its totient is φ = 22272.

The previous prime is 97859. The next prime is 97861. The reversal of 97860 is 6879.

97860 = T₅₅ + T₅₆ + ... + T₉₀.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97859) and next prime (97861).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97860.

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 15 ways as a sum of consecutive naturals, for example, 304 + ... + 536.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2⁹⁷⁸⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248).

97860 is an abundant number, since it is smaller than the sum of its proper divisors (216636).

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

97860 is a wasteful number, since it uses less digits than its factorization.

97860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 97860 is about 312.8258301356. The cubic root of 97860 is about 46.0823979992.

The spelling of 97860 in words is "ninety-seven thousand, eight hundred sixty".