97361472 has 112 divisors (see below), whose sum is σ = 292160960. Its totient is φ = 28366848.

The previous prime is 97361449. The next prime is 97361489. The reversal of 97361472 is 27416379.

It is a Smith number, since the sum of its digits (39) 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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 97361472.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46398 + ... + 48450.

It is an arithmetic number, because the mean of its divisors is an integer number (2608580).

Almost surely, 2^97361472 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 97361472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146080480).

97361472 is an abundant number, since it is smaller than the sum of its proper divisors (194799488).

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

97361472 is a wasteful number, since it uses less digits than its factorization.

97361472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2090 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 97361472 is about 9867.1916977426. The cubic root of 97361472 is about 460.0401225242.

The spelling of 97361472 in words is "ninety-seven million, three hundred sixty-one thousand, four hundred seventy-two".