97380 has 36 divisors (see below), whose sum is σ = 295932. Its totient is φ = 25920.

The previous prime is 97379. The next prime is 97381. The reversal of 97380 is 8379.

97380 = T₃₁ + T₃₂ + ... + T₈₄.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97379) and next prime (97381).

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 60516 = 192^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (97381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91 + ... + 450.

2⁹⁷³⁸⁰ is an apocalyptic number.

97380 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147966).

97380 is an abundant number, since it is smaller than the sum of its proper divisors (198552).

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

97380 is a wasteful number, since it uses less digits than its factorization.

97380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 551 counting only the distinct ones).

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

The square root of 97380 is about 312.0576869747. The cubic root of 97380 is about 46.0069302728.

The spelling of 97380 in words is "ninety-seven thousand, three hundred eighty".