97254000 has 160 divisors (see below), whose sum is σ = 348578880. Its totient is φ = 25920000.

The previous prime is 97253987. The next prime is 97254013. The reversal of 97254000 is 45279.

It is an interprime number because it is at equal distance from previous prime (97253987) and next prime (97254013).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53100 + ... + 54900.

It is an arithmetic number, because the mean of its divisors is an integer number (2178618).

Almost surely, 2^97254000 is an apocalyptic number.

97254000 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 97254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174289440).

97254000 is an abundant number, since it is smaller than the sum of its proper divisors (251324880).

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

97254000 is a wasteful number, since it uses less digits than its factorization.

97254000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 97254000 is about 9861.7442676232. The cubic root of 97254000 is about 459.8707891658.

Adding to 97254000 its reverse (45279), we get a palindrome (97299279).

The spelling of 97254000 in words is "ninety-seven million, two hundred fifty-four thousand".