97746144 has 48 divisors (see below), whose sum is σ = 257482512. Its totient is φ = 32467968.

The previous prime is 97746139. The next prime is 97746149. The reversal of 97746144 is 44164779.

It is an interprime number because it is at equal distance from previous prime (97746139) and next prime (97746149).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 97746096 and 97746105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97746149) 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, 28422 + ... + 31674.

It is an arithmetic number, because the mean of its divisors is an integer number (5364219).

Almost surely, 2^97746144 is an apocalyptic number.

It is an amenable number.

97746144 is an abundant number, since it is smaller than the sum of its proper divisors (159736368).

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

97746144 is a wasteful number, since it uses less digits than its factorization.

97746144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3571 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 97746144 is about 9886.6649584175. The cubic root of 97746144 is about 460.6451941890.

The spelling of 97746144 in words is "ninety-seven million, seven hundred forty-six thousand, one hundred forty-four".