97813089 has 96 divisors (see below), whose sum is σ = 175279104. Its totient is φ = 53887680.

The previous prime is 97813057. The next prime is 97813103. The reversal of 97813089 is 98031879.

It is not a de Polignac number, because 97813089 - 2⁵ = 97813057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97813039) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2274702 + ... + 2274744.

It is an arithmetic number, because the mean of its divisors is an integer number (1825824).

Almost surely, 2^97813089 is an apocalyptic number.

97813089 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

97813089 is a deficient number, since it is larger than the sum of its proper divisors (77466015).

97813089 is a wasteful number, since it uses less digits than its factorization.

97813089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 97813089 is about 9890.0499998736. The cubic root of 97813089 is about 460.7503333921.

The spelling of 97813089 in words is "ninety-seven million, eight hundred thirteen thousand, eighty-nine".