97849152 has 84 divisors (see below), whose sum is σ = 281984196. Its totient is φ = 32440320.

The previous prime is 97849079. The next prime is 97849177. The reversal of 97849152 is 25194879.

It can be written as a sum of positive squares in 2 ways, for example, as 89415936 + 8433216 = 9456^2 + 2904^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 97849098 and 97849107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147702 + ... + 148362.

Almost surely, 2^97849152 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 97849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140992098).

97849152 is an abundant number, since it is smaller than the sum of its proper divisors (184135044).

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

97849152 is a wasteful number, since it uses less digits than its factorization.

97849152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 923 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 97849152 is about 9891.8730278952. The cubic root of 97849152 is about 460.8069515734.

The spelling of 97849152 in words is "ninety-seven million, eight hundred forty-nine thousand, one hundred fifty-two".