97058400 has 144 divisors (see below), whose sum is σ = 324760464. Its totient is φ = 25159680.

The previous prime is 97058383. The next prime is 97058407. The reversal of 97058400 is 485079.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97058407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88254 + ... + 89346.

It is an arithmetic number, because the mean of its divisors is an integer number (2255281).

Almost surely, 2^97058400 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 97058400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162380232).

97058400 is an abundant number, since it is smaller than the sum of its proper divisors (227702064).

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

97058400 is a wasteful number, since it uses less digits than its factorization.

97058400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 97058400 is about 9851.8221664827. The cubic root of 97058400 is about 459.5622805264.

The spelling of 97058400 in words is "ninety-seven million, fifty-eight thousand, four hundred".