97200114 has 32 divisors (see below), whose sum is σ = 213966144. Its totient is φ = 29191680.

The previous prime is 97200109. The next prime is 97200119. The reversal of 97200114 is 41100279.

It is an interprime number because it is at equal distance from previous prime (97200109) and next prime (97200119).

It is a super-2 number, since 2×97200114² = 18895724323225992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97200119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 942 + ... + 13974.

It is an arithmetic number, because the mean of its divisors is an integer number (6686442).

Almost surely, 2^97200114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97200114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106983072).

97200114 is an abundant number, since it is smaller than the sum of its proper divisors (116766030).

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

97200114 is a wasteful number, since it uses less digits than its factorization.

97200114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13162.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 97200114 is about 9859.0118166072. The cubic root of 97200114 is about 459.7858391877.

The spelling of 97200114 in words is "ninety-seven million, two hundred thousand, one hundred fourteen".