97812 has 72 divisors (see below), whose sum is σ = 305760. Its totient is φ = 25920.

The previous prime is 97789. The next prime is 97813. The reversal of 97812 is 21879.

It is an Ulam number.

Its product of digits (1008) is a multiple of the sum of its prime divisors (48).

It is a plaindrome in base 5.

It is a nialpdrome in base 7.

It is a zygodrome in base 5 and base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5139 + ... + 5157.

2⁹⁷⁸¹² 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 97812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152880).

97812 is an abundant number, since it is smaller than the sum of its proper divisors (207948).

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

97812 is a wasteful number, since it uses less digits than its factorization.

97812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 48 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 97812 is about 312.7491007181. The cubic root of 97812 is about 46.0748623468.

It can be divided in two parts, 978 and 12, that added together give a triangular number (990 = T₄₄).

The spelling of 97812 in words is "ninety-seven thousand, eight hundred twelve".