97200012 has 144 divisors (see below), whose sum is σ = 289239552. Its totient is φ = 24860160.

The previous prime is 97200007. The next prime is 97200017. The reversal of 97200012 is 21000279.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97200007) and next prime (97200017).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97200017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581953 + ... + 582119.

It is an arithmetic number, because the mean of its divisors is an integer number (2008608).

Almost surely, 2^97200012 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 97200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144619776).

97200012 is an abundant number, since it is smaller than the sum of its proper divisors (192039540).

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

97200012 is a wasteful number, since it uses less digits than its factorization.

97200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 97200012 is about 9859.0066436736. The cubic root of 97200012 is about 459.7856783574.

The spelling of 97200012 in words is "ninety-seven million, two hundred thousand, twelve".