97667856 has 400 divisors, whose sum is σ = 362976768. Its totient is φ = 24883200.

The previous prime is 97667851. The next prime is 97667897. The reversal of 97667856 is 65876679.

97667856 = T₃₆₃ + T₃₆₄ + ... + T₈₅₈.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (97667851) 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 79 ways as a sum of consecutive naturals, for example, 3150561 + ... + 3150591.

Almost surely, 2^97667856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97667856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181488384).

97667856 is an abundant number, since it is smaller than the sum of its proper divisors (265308912).

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

97667856 is a wasteful number, since it uses less digits than its factorization.

97667856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 97667856 is about 9882.7048928924. The cubic root of 97667856 is about 460.5221795384.

The spelling of 97667856 in words is "ninety-seven million, six hundred sixty-seven thousand, eight hundred fifty-six".