97773552 has 120 divisors (see below), whose sum is σ = 291436704. Its totient is φ = 30531072.

The previous prime is 97773551. The next prime is 97773623. The reversal of 97773552 is 25537779.

It is a happy number.

97773552 is a `hidden beast` number, since 97 + 7 + 7 + 3 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 97773498 and 97773507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97773551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175258 + ... + 175814.

Almost surely, 2^97773552 is an apocalyptic number.

97773552 is a gapful number since it is divisible by the number (92) 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 97773552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145718352).

97773552 is an abundant number, since it is smaller than the sum of its proper divisors (193663152).

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

97773552 is a wasteful number, since it uses less digits than its factorization.

97773552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 638 counting only the distinct ones).

The product of its digits is 463050, while the sum is 45.

The square root of 97773552 is about 9888.0509707424. The cubic root of 97773552 is about 460.6882451067.

It can be divided in two parts, 977 and 73552, that added together give a square (74529 = 273²).

The spelling of 97773552 in words is "ninety-seven million, seven hundred seventy-three thousand, five hundred fifty-two".