97776945 has 144 divisors (see below), whose sum is σ = 223067520. Its totient is φ = 38568960.

The previous prime is 97776901. The next prime is 97776949. The reversal of 97776945 is 54967779.

It is a happy number.

It is not a de Polignac number, because 97776945 - 2⁹ = 97776433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 97776891 and 97776900.

It is not an unprimeable number, because it can be changed into a prime (97776949) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3154080 + ... + 3154110.

It is an arithmetic number, because the mean of its divisors is an integer number (1549080).

Almost surely, 2^97776945 is an apocalyptic number.

97776945 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

97776945 is an abundant number, since it is smaller than the sum of its proper divisors (125290575).

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

97776945 is a wasteful number, since it uses less digits than its factorization.

97776945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 54.

The square root of 97776945 is about 9888.2225399715. Note that the first 3 decimals coincide. The cubic root of 97776945 is about 460.6935740773.

The spelling of 97776945 in words is "ninety-seven million, seven hundred seventy-six thousand, nine hundred forty-five".