97416 has 64 divisors (see below), whose sum is σ = 302400. Its totient is φ = 28800.

The previous prime is 97397. The next prime is 97423. The reversal of 97416 is 61479.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 97416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2356 + ... + 2396.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2⁹⁷⁴¹⁶ 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 97416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

97416 is an abundant number, since it is smaller than the sum of its proper divisors (204984).

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

97416 is a wasteful number, since it uses less digits than its factorization.

97416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 57 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 97416 is about 312.1153632874. The cubic root of 97416 is about 46.0125989434.

Subtracting from 97416 its reverse (61479), we obtain a cube (35937 = 33³).

It can be divided in two parts, 974 and 16, that added together give a triangular number (990 = T₄₄).

The spelling of 97416 in words is "ninety-seven thousand, four hundred sixteen".