97083252 has 96 divisors (see below), whose sum is σ = 289309440. Its totient is φ = 27578880.

The previous prime is 97083167. The next prime is 97083257. The reversal of 97083252 is 25238079.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97083257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212208 + ... + 212664.

It is an arithmetic number, because the mean of its divisors is an integer number (3013640).

Almost surely, 2^97083252 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 97083252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144654720).

97083252 is an abundant number, since it is smaller than the sum of its proper divisors (192226188).

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

97083252 is a wasteful number, since it uses less digits than its factorization.

97083252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 97083252 is about 9853.0833752689. The cubic root of 97083252 is about 459.6015011302.

The spelling of 97083252 in words is "ninety-seven million, eighty-three thousand, two hundred fifty-two".