97267776 has 56 divisors (see below), whose sum is σ = 259445760. Its totient is φ = 32159232.

The previous prime is 97267757. The next prime is 97267777. The reversal of 97267776 is 67776279.

It is a super-2 number, since 2×97267776² = 18922040495972352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97267777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22390 + ... + 26378.

It is an arithmetic number, because the mean of its divisors is an integer number (4632960).

Almost surely, 2^97267776 is an apocalyptic number.

97267776 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97267776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129722880).

97267776 is an abundant number, since it is smaller than the sum of its proper divisors (162177984).

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

97267776 is a wasteful number, since it uses less digits than its factorization.

97267776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4121 counting only the distinct ones).

The product of its digits is 1555848, while the sum is 51.

The square root of 97267776 is about 9862.4426994533. The cubic root of 97267776 is about 459.8925016605.

The spelling of 97267776 in words is "ninety-seven million, two hundred sixty-seven thousand, seven hundred seventy-six".