97677144 has 64 divisors (see below), whose sum is σ = 274428000. Its totient is φ = 32186880.

The previous prime is 97677143. The next prime is 97677161. The reversal of 97677144 is 44177679.

It is a self number, because there is not a number n which added to its sum of digits gives 97677144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97677143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16684 + ... + 21764.

Almost surely, 2^97677144 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 97677144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137214000).

97677144 is an abundant number, since it is smaller than the sum of its proper divisors (176750856).

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

97677144 is a wasteful number, since it uses less digits than its factorization.

97677144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185 (or 5175 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 97677144 is about 9883.1747935570. The cubic root of 97677144 is about 460.5367772938.

It can be divided in two parts, 976771 and 44, that multiplied together give a palindrome (42977924).

The spelling of 97677144 in words is "ninety-seven million, six hundred seventy-seven thousand, one hundred forty-four".