97825770 has 96 divisors (see below), whose sum is σ = 300119040. Its totient is φ = 21634560.

The previous prime is 97825751. The next prime is 97825771. The reversal of 97825770 is 7752879.

97825770 is a `hidden beast` number, since 9 + 78 + 2 + 577 + 0 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (97825771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17026 + ... + 22034.

It is an arithmetic number, because the mean of its divisors is an integer number (3126240).

Almost surely, 2^97825770 is an apocalyptic number.

97825770 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97825770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150059520).

97825770 is an abundant number, since it is smaller than the sum of its proper divisors (202293270).

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

97825770 is a wasteful number, since it uses less digits than its factorization.

97825770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 97825770 is about 9890.6910779783. The cubic root of 97825770 is about 460.7702438920.

The spelling of 97825770 in words is "ninety-seven million, eight hundred twenty-five thousand, seven hundred seventy".