97074144 has 144 divisors (see below), whose sum is σ = 290594304. Its totient is φ = 30700800.

The previous prime is 97074143. The next prime is 97074151. The reversal of 97074144 is 44147079.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97074099 and 97074108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97074143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740959 + ... + 741089.

It is an arithmetic number, because the mean of its divisors is an integer number (2018016).

Almost surely, 2^97074144 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 97074144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145297152).

97074144 is an abundant number, since it is smaller than the sum of its proper divisors (193520160).

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

97074144 is a wasteful number, since it uses less digits than its factorization.

97074144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 97074144 is about 9852.6211740836. The cubic root of 97074144 is about 459.5871279631.

The spelling of 97074144 in words is "ninety-seven million, seventy-four thousand, one hundred forty-four".