97145280 has 168 divisors, whose sum is σ = 338785200. Its totient is φ = 25546752.

The previous prime is 97145263. The next prime is 97145291. The reversal of 97145280 is 8254179.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256131 + ... + 256509.

Almost surely, 2^97145280 is an apocalyptic number.

97145280 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 97145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169392600).

97145280 is an abundant number, since it is smaller than the sum of its proper divisors (241639920).

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

97145280 is a wasteful number, since it uses less digits than its factorization.

97145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 97145280 is about 9856.2305167848. The cubic root of 97145280 is about 459.6993624744.

The spelling of 97145280 in words is "ninety-seven million, one hundred forty-five thousand, two hundred eighty".