97982145 has 24 divisors (see below), whose sum is σ = 178776000. Its totient is φ = 49506336.

The previous prime is 97982141. The next prime is 97982153. The reversal of 97982145 is 54128979.

It is not a de Polignac number, because 97982145 - 2² = 97982141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 97982145.

It is not an unprimeable number, because it can be changed into a prime (97982141) 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, 56445 + ... + 58154.

It is an arithmetic number, because the mean of its divisors is an integer number (7449000).

Almost surely, 2^97982145 is an apocalyptic number.

97982145 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

97982145 is a deficient number, since it is larger than the sum of its proper divisors (80793855).

97982145 is a wasteful number, since it uses less digits than its factorization.

97982145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114629 (or 114626 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 97982145 is about 9898.5930818475. The cubic root of 97982145 is about 461.0156277297.

The spelling of 97982145 in words is "ninety-seven million, nine hundred eighty-two thousand, one hundred forty-five".