97452900 has 216 divisors, whose sum is σ = 331749600. Its totient is φ = 23846400.

The previous prime is 97452889. The next prime is 97452911. The reversal of 97452900 is 925479.

It is an interprime number because it is at equal distance from previous prime (97452889) and next prime (97452911).

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

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 71 ways as a sum of consecutive naturals, for example, 701031 + ... + 701169.

Almost surely, 2^97452900 is an apocalyptic number.

97452900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97452900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165874800).

97452900 is an abundant number, since it is smaller than the sum of its proper divisors (234296700).

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

97452900 is a wasteful number, since it uses less digits than its factorization.

97452900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 97452900 is about 9871.8235397519. The cubic root of 97452900 is about 460.1840788161.

It can be divided in two parts, 9 and 7452900, that multiplied together give a square (67076100 = 8190²).

The spelling of 97452900 in words is "ninety-seven million, four hundred fifty-two thousand, nine hundred".